arsham reisinezhad | Paris School of Economics (original) (raw)

Papers by arsham reisinezhad

Université Panthéon-Sorbonne - Paris I, Jan 14, 2021

International Journal of Modeling, Simulation, and Scientific Computing, 2011

Finite element modeling of one-dimensional Beji and Nadaoka Boussinesq equation is presented. The... more Finite element modeling of one-dimensional Beji and Nadaoka Boussinesq equation is presented. The continuous equations are spatially discretized using standard Galerkin method. Since the extended Boussinesq equations contain high-order derivatives, two different numerical techniques are proposed in this paper in order to simplify the discretization task of the third-order terms. In the first technique, an auxiliary equation is introduced to eliminate the third-order derivatives of the momentum equation while non-overlapping elements with linear interpolating functions are employed to account for the dependent variables. However, in the second method, overlapping elements with quadratic interpolating functions are applied for discretizing the governing equations. Time integration is performed using the Adams–Bashforth–Moulton predictor–corrector method. By considering the truncation error and theoretical analysis for both of the numerical techniques, accuracy and stability of the ado...

Copyright © 2013 Mohammad Hadi Jabbari et al. This is an open access article distributed under th... more Copyright © 2013 Mohammad Hadi Jabbari et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper presents a numericalmodel based on one-dimensional Beji andNadaoka’s ExtendedBoussinesq equations for simulation of periodic wave shoaling and its decomposition over morphological beaches. A unique Galerkin finite element and Adams-Bashforth-Moulton predictor-corrector methods are employed for spatial and temporal discretization, respectively. For direct application of linear finite element method in spatial discretization, an auxiliary variable is hereby introduced, and a particular numerical scheme is offered to rewrite the equations in lower-order form. Stability of the suggested numerical method is also analyzed. Subsequently, in order to display the ability of the presented model, four different test cases are ...

Research Papers in Economics, 2020

Contrary to empirical evidence, the Dutch disease hypothesis, driven by Learning By Doing (LBD), ... more Contrary to empirical evidence, the Dutch disease hypothesis, driven by Learning By Doing (LBD), does not predict the steady-state real exchange rate appreciation and economic growth deceleration due to a resource boom. To do so, I first represent a simple model to fill the theory's gap, and then adopt a dynamic panel data approach for a sample of 132 countries over the period 1970-2014 to re-evaluate both symptoms of the hypothesis in systematic analysis. The main findings are threefold. First, a resource boom appreciates the real exchange rate. Second, the real exchange rate appreciation decelerates the rate of growth in both sectors such that the shrinkage is larger in the manufacturing sector than in the service sector. This, in turn, makes the relative output level of the manufacturing sector to the service sector be smaller and economic growth be slower. Third, these effects are more intensive in resource-rich countries than in resource-poor countries.

This paper investigates the impact of absorption capacity (i.e. the level of non-traded capital g... more This paper investigates the impact of absorption capacity (i.e. the level of non-traded capital goods such as infrastructure and human capital) on the intensity of the natural resource curse. Using panel data for 105 countries over the period 1975-2014, I construct two indexes to proxy absorption capacity among countries. A growth regression model, estimated by IV-2SLS technique, shows that the natural resource curse is more intensive in countries with more absorption capacity constraints. Furthermore, based on the idea that some sorts of capital goods (e.g. infrastructure and human capital) can not be redeployed in major countries and they must be produced domestically (i.e. absorption capacity constraints), I put forward a simple two-sector framework, in line with Vander Ploeg and Venables (2013), to clarify the empirical findin

Contrary to empirical evidence, the Dutch disease hypothesis, driven by Learning By Doing (LBD), ... more Contrary to empirical evidence, the Dutch disease hypothesis, driven by Learning By Doing (LBD), does not predict the steady-state real exchange rate appreciation and economic growth deceleration due to a resource boom. To do so, I first represent a simple model to fill the theory's gap, and then adopt a dynamic panel data approach for a sample of 132 countries over the period 1970-2014 to re-evaluate both symptoms of the hypothesis in systematic analysis. The main findings are threefold. First, a resource boom appreciates the real exchange rate. Second, the real exchange rate appreciation decelerates the rate of growth in both sectors such that the shrinkage is larger in the manufacturing sector than in the service sector. This, in turn, makes the relative output level of the manufacturing sector to the service sector be smaller and economic growth be slower. Third, these effects are more intensive in resource-rich countries than in resource-poor countries

Engineering Applications of Computational Fluid Mechanics, 2012

In this study, shoaling phenomenon is analyzed using Galerkin finite element approach. This numer... more In this study, shoaling phenomenon is analyzed using Galerkin finite element approach. This numerical scheme is applied to the extended Boussinesq equations derived by Beji and Nadaoka (1996) for simulation of shoaling on plane beaches. For spatial discretization, quadratic elements with three-station Lagrange interpolation polynomials are used for horizontal velocity and the water surface elevation. However, for time discretization, two different numerical schemes are used. The first method is a combination of semi-implicit schemes with low-order backward finite difference for time integration and the second method is high-order Adam-Bashforth-Moulton predictor-corrector strategy. Based on this numerical approach, shoaling phenomenon caused by propagation of a solitary wave on sloped beaches is modeled and the results are compared with the available results from the fully nonlinear potential flow model. Considering the fact that the extended Boussinesq equations are affected by nonlinear effects, a non-dimensional parameter called "Asymmetric Parameter" is introduced. This parameter expresses the effects of the travelled distance of the solitary wave as well as the relative wave height on the resulting wave asymmetry. Finally, using this parameter, shoaling coefficient has been computed in an appropriate range.

Journal of Coastal Research, 2016

In this study, free surface elevation is predicted by using a new finite element scheme. This num... more In this study, free surface elevation is predicted by using a new finite element scheme. This numerical method solves a Nwogu Boussinesq equation system to simulate wave propagation in the complicated bathymetry of coastal regions. The numerical approach is based on a Galerkin finite element approach for spatial discretization and Adam-Bashforth-Moulton predictor-corrector strategy for time integration. Governing equations are rewritten in lower-order forms by introducing a novel form of auxiliary variable in order to make the application of the linear finite element method possible. Then, the stability of the suggested finite element schemes is studied using a theoretical analysis. For the validation of the present numerical method, five test cases are considered to show the capability of the numerical model for simulating the free surface elevation of wave propagation over different beach profiles where the nonlinear and dispersive effects are so important. The simulated results agree well with experimental observations.

Research Papers in Economics, 2020

While much ink has been spilled over the study of income inequality and the Dutch disease in isol... more While much ink has been spilled over the study of income inequality and the Dutch disease in isolation from each other, little attention has been paid to the association between these subjects of interest. From this perspective, the present paper develops a two-sector growth model including two groups of workers (skilled and unskilled) with different consumption baskets. The model is induced by a relative real wage between sectors and between workers in the short-term (comparative static), while it is driven by the relative productivity growth and also a change in the relative consumption expenditure, resulting from an income inequality change, in the long-term. The main findings are twofold. First, a natural resource boom reduces income inequality if the relative real wage of skilled to unskilled workers is stronger than their relative share on windfall income benefit (subsidies). Second, falling income inequality exacerbates the intensity of the Dutch disease if skilled workers, with respect to unskilled workers, allocate a larger expenditure share for traded goods. Using the dynamic panel data approach for a sample of 79 countries over the period 1975-2014, I evaluate the theory's predictions. The empirical study represents some clear evidence in supporting the crucial role of income inequality in the economic performance of resource-dependent countries.

This paper presents a numerical model based on one-dimensional Beji and Nadaoka's Extended B... more This paper presents a numerical model based on one-dimensional Beji and Nadaoka's Extended Boussinesq equations for simulation of periodic wave shoaling and its decomposition over morphological beaches. A unique Galerkin finite element and AdamsBashforth-Moulton predictor-corrector methods are employed for spatial and temporal discretization, respectively. For direct application of linear finite element method in spatial discretization, an auxiliary variable is hereby introduced, and a particular numerical scheme is offered to rewrite the equations in lower-order form. Stability of the suggested numerical method is also analyzed. Subsequently, in order to display the ability of the presented model, four different test cases are considered. In these test cases, dispersive and nonlinearity effects of the periodic waves over sloping beaches and barred beaches, which are the common coastal profiles, are investigated. Outputs are compared with other existing numerical and experiment...

While much ink has been spilled over the study of income inequality and economic growth, little a... more While much ink has been spilled over the study of income inequality and economic growth, little attention has been paid to investigate the interaction between these variables of interest in resource-dependent economies. The present paper develops a two-sector small open economy model including two groups of households (the rich and the poor). The mechanism is derived by two forces: 1) a composition of productivity growth with Learning by Doing (LBD) and capital accumulation with absorptive capacity constraints on the supply-side 2) a change in the relative demand of the non-traded to the traded goods on the demand-side. Applying a panel data approach for a sample database of 40 countries over the period 1975-2015, I evaluate the predictions of my theory. The main findings are fourfold. In response to a windfall income, first, the natural resource curse (i.e. the Dutch disease and Deindustrialization) appears. Second, income inequality rises if the non-traded sector is relatively cap...

Journal of Hydroinformatics, 2012

A numerical model based on two-dimensional shallow water equations is presented. The depthaverage... more A numerical model based on two-dimensional shallow water equations is presented. The depthaveraged velocity components with free-surface elevation have been used as independent variables in the model. The finite element technique is applied to discretize the spatial derivatives.

Journal of Coastal Research, 2015

In this study, free surface elevation is predicted by using a new finite element scheme. This num... more In this study, free surface elevation is predicted by using a new finite element scheme. This numerical method solves a
Nwogu Boussinesq equation system to simulate wave propagation in the complicated bathymetry of coastal regions. The
numerical approach is based on a Galerkin finite element approach for spatial discretization and Adam-Bashforth-
Moulton predictor-corrector strategy for time integration. Governing equations are rewritten in lower-order forms by
introducing a novel form of auxiliary variable in order to make the application of the linear finite element method
possible. Then, the stability of the suggested finite element schemes is studied using a theoretical analysis. For the
validation of the present numerical method, five test cases are considered to show the capability of the numerical model
for simulating the free surface elevation of wave propagation over different beach profiles where the nonlinear and
dispersive effects are so important. The simulated results agree well with experimental observations.

This paper presents a numerical model based on one-dimensional Beji and Nadaoka's Extended Boussi... more This paper presents a numerical model based on one-dimensional Beji and Nadaoka's Extended Boussinesq equations for simulation of periodic wave shoaling and its decomposition over morphological beaches. A unique Galerkin finite element and Adams-Bashforth-Moulton predictor-corrector methods are employed for spatial and temporal discretization, respectively. For direct application of linear finite element method in spatial discretization, an auxiliary variable is hereby introduced, and a particular numerical scheme is offered to rewrite the equations in lower-order form. Stability of the suggested numerical method is also analyzed. Subsequently, in order to display the ability of the presented model, four different test cases are considered. In these test cases, dispersive and nonlinearity effects of the periodic waves over sloping beaches and barred beaches, which are the common coastal profiles, are investigated. Outputs are compared with other existing numerical and experimental data. Finally, it is concluded that the current model can be further developed to model any morphological development of coastal profiles.

In this study, shoaling phenomenon is analyzed using Galerkin finite element approach. This numer... more In this study, shoaling phenomenon is analyzed using Galerkin finite element approach. This numerical scheme is applied to the extended Boussinesq equations derived by for simulation of shoaling on plane beaches. For spatial discretization, quadratic elements with three-station Lagrange interpolation polynomials are used for horizontal velocity and the water surface elevation. However, for time discretization, two different numerical schemes are used. The first method is a combination of semi-implicit schemes with low-order backward finite difference for time integration and the second method is high-order Adam-Bashforth-Moulton predictor-corrector strategy. Based on this numerical approach, shoaling phenomenon caused by propagation of a solitary wave on sloped beaches is modeled and the results are compared with the available results from the fully nonlinear potential flow model. Considering the fact that the extended Boussinesq equations are affected by nonlinear effects, a non-dimensional parameter called "Asymmetric Parameter" is introduced. This parameter expresses the effects of the travelled distance of the solitary wave as well as the relative wave height on the resulting wave asymmetry. Finally, using this parameter, shoaling coefficient has been computed in an appropriate range.

Finite element modeling of one-dimensional Beji and Nadaoka Boussinesq equation is presented. The... more Finite element modeling of one-dimensional Beji and Nadaoka Boussinesq equation is presented. The continuous equations are spatially discretized using standard Galerkin method. Since the extended Boussinesq equations contain high-order derivatives, two different numerical techniques are proposed in this paper in order to simplify the discretization task of the third-order terms. In the first technique, an auxiliary equation is introduced to eliminate the third-order derivatives of the momentum equation while non-overlapping elements with linear interpolating functions are employed to account for the dependent variables. However, in the second method, overlapping elements with quadratic interpolating functions are applied for discretizing the governing equations. Time integration is performed using the Adams-Bashforth-Moulton predictor-corrector method. By considering the truncation error and theoretical analysis for both of the numerical techniques, accuracy and stability of the adopted finite element schemes have been studied. Finally, a computer code is developed based on the proposed schemes. To show the validity as well as the practicality of the developed code, five different test cases are presented, and the results are compared with some analytical solutions and experimental data. Favorable agreements have been achieved in all cases.

A numerical model based on two-dimensional shallow water equations is presented. The depthaverage... more A numerical model based on two-dimensional shallow water equations is presented. The depthaveraged velocity components with free-surface elevation have been used as independent variables in the model. The finite element technique is applied to discretize the spatial derivatives.

Université Panthéon-Sorbonne - Paris I, Jan 14, 2021

International Journal of Modeling, Simulation, and Scientific Computing, 2011

Finite element modeling of one-dimensional Beji and Nadaoka Boussinesq equation is presented. The... more Finite element modeling of one-dimensional Beji and Nadaoka Boussinesq equation is presented. The continuous equations are spatially discretized using standard Galerkin method. Since the extended Boussinesq equations contain high-order derivatives, two different numerical techniques are proposed in this paper in order to simplify the discretization task of the third-order terms. In the first technique, an auxiliary equation is introduced to eliminate the third-order derivatives of the momentum equation while non-overlapping elements with linear interpolating functions are employed to account for the dependent variables. However, in the second method, overlapping elements with quadratic interpolating functions are applied for discretizing the governing equations. Time integration is performed using the Adams–Bashforth–Moulton predictor–corrector method. By considering the truncation error and theoretical analysis for both of the numerical techniques, accuracy and stability of the ado...

Copyright © 2013 Mohammad Hadi Jabbari et al. This is an open access article distributed under th... more Copyright © 2013 Mohammad Hadi Jabbari et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper presents a numericalmodel based on one-dimensional Beji andNadaoka’s ExtendedBoussinesq equations for simulation of periodic wave shoaling and its decomposition over morphological beaches. A unique Galerkin finite element and Adams-Bashforth-Moulton predictor-corrector methods are employed for spatial and temporal discretization, respectively. For direct application of linear finite element method in spatial discretization, an auxiliary variable is hereby introduced, and a particular numerical scheme is offered to rewrite the equations in lower-order form. Stability of the suggested numerical method is also analyzed. Subsequently, in order to display the ability of the presented model, four different test cases are ...

Research Papers in Economics, 2020

Contrary to empirical evidence, the Dutch disease hypothesis, driven by Learning By Doing (LBD), ... more Contrary to empirical evidence, the Dutch disease hypothesis, driven by Learning By Doing (LBD), does not predict the steady-state real exchange rate appreciation and economic growth deceleration due to a resource boom. To do so, I first represent a simple model to fill the theory's gap, and then adopt a dynamic panel data approach for a sample of 132 countries over the period 1970-2014 to re-evaluate both symptoms of the hypothesis in systematic analysis. The main findings are threefold. First, a resource boom appreciates the real exchange rate. Second, the real exchange rate appreciation decelerates the rate of growth in both sectors such that the shrinkage is larger in the manufacturing sector than in the service sector. This, in turn, makes the relative output level of the manufacturing sector to the service sector be smaller and economic growth be slower. Third, these effects are more intensive in resource-rich countries than in resource-poor countries.

This paper investigates the impact of absorption capacity (i.e. the level of non-traded capital g... more This paper investigates the impact of absorption capacity (i.e. the level of non-traded capital goods such as infrastructure and human capital) on the intensity of the natural resource curse. Using panel data for 105 countries over the period 1975-2014, I construct two indexes to proxy absorption capacity among countries. A growth regression model, estimated by IV-2SLS technique, shows that the natural resource curse is more intensive in countries with more absorption capacity constraints. Furthermore, based on the idea that some sorts of capital goods (e.g. infrastructure and human capital) can not be redeployed in major countries and they must be produced domestically (i.e. absorption capacity constraints), I put forward a simple two-sector framework, in line with Vander Ploeg and Venables (2013), to clarify the empirical findin

Contrary to empirical evidence, the Dutch disease hypothesis, driven by Learning By Doing (LBD), ... more Contrary to empirical evidence, the Dutch disease hypothesis, driven by Learning By Doing (LBD), does not predict the steady-state real exchange rate appreciation and economic growth deceleration due to a resource boom. To do so, I first represent a simple model to fill the theory's gap, and then adopt a dynamic panel data approach for a sample of 132 countries over the period 1970-2014 to re-evaluate both symptoms of the hypothesis in systematic analysis. The main findings are threefold. First, a resource boom appreciates the real exchange rate. Second, the real exchange rate appreciation decelerates the rate of growth in both sectors such that the shrinkage is larger in the manufacturing sector than in the service sector. This, in turn, makes the relative output level of the manufacturing sector to the service sector be smaller and economic growth be slower. Third, these effects are more intensive in resource-rich countries than in resource-poor countries

Engineering Applications of Computational Fluid Mechanics, 2012

In this study, shoaling phenomenon is analyzed using Galerkin finite element approach. This numer... more In this study, shoaling phenomenon is analyzed using Galerkin finite element approach. This numerical scheme is applied to the extended Boussinesq equations derived by Beji and Nadaoka (1996) for simulation of shoaling on plane beaches. For spatial discretization, quadratic elements with three-station Lagrange interpolation polynomials are used for horizontal velocity and the water surface elevation. However, for time discretization, two different numerical schemes are used. The first method is a combination of semi-implicit schemes with low-order backward finite difference for time integration and the second method is high-order Adam-Bashforth-Moulton predictor-corrector strategy. Based on this numerical approach, shoaling phenomenon caused by propagation of a solitary wave on sloped beaches is modeled and the results are compared with the available results from the fully nonlinear potential flow model. Considering the fact that the extended Boussinesq equations are affected by nonlinear effects, a non-dimensional parameter called "Asymmetric Parameter" is introduced. This parameter expresses the effects of the travelled distance of the solitary wave as well as the relative wave height on the resulting wave asymmetry. Finally, using this parameter, shoaling coefficient has been computed in an appropriate range.

Journal of Coastal Research, 2016

In this study, free surface elevation is predicted by using a new finite element scheme. This num... more In this study, free surface elevation is predicted by using a new finite element scheme. This numerical method solves a Nwogu Boussinesq equation system to simulate wave propagation in the complicated bathymetry of coastal regions. The numerical approach is based on a Galerkin finite element approach for spatial discretization and Adam-Bashforth-Moulton predictor-corrector strategy for time integration. Governing equations are rewritten in lower-order forms by introducing a novel form of auxiliary variable in order to make the application of the linear finite element method possible. Then, the stability of the suggested finite element schemes is studied using a theoretical analysis. For the validation of the present numerical method, five test cases are considered to show the capability of the numerical model for simulating the free surface elevation of wave propagation over different beach profiles where the nonlinear and dispersive effects are so important. The simulated results agree well with experimental observations.

Research Papers in Economics, 2020

While much ink has been spilled over the study of income inequality and the Dutch disease in isol... more While much ink has been spilled over the study of income inequality and the Dutch disease in isolation from each other, little attention has been paid to the association between these subjects of interest. From this perspective, the present paper develops a two-sector growth model including two groups of workers (skilled and unskilled) with different consumption baskets. The model is induced by a relative real wage between sectors and between workers in the short-term (comparative static), while it is driven by the relative productivity growth and also a change in the relative consumption expenditure, resulting from an income inequality change, in the long-term. The main findings are twofold. First, a natural resource boom reduces income inequality if the relative real wage of skilled to unskilled workers is stronger than their relative share on windfall income benefit (subsidies). Second, falling income inequality exacerbates the intensity of the Dutch disease if skilled workers, with respect to unskilled workers, allocate a larger expenditure share for traded goods. Using the dynamic panel data approach for a sample of 79 countries over the period 1975-2014, I evaluate the theory's predictions. The empirical study represents some clear evidence in supporting the crucial role of income inequality in the economic performance of resource-dependent countries.

This paper presents a numerical model based on one-dimensional Beji and Nadaoka's Extended B... more This paper presents a numerical model based on one-dimensional Beji and Nadaoka's Extended Boussinesq equations for simulation of periodic wave shoaling and its decomposition over morphological beaches. A unique Galerkin finite element and AdamsBashforth-Moulton predictor-corrector methods are employed for spatial and temporal discretization, respectively. For direct application of linear finite element method in spatial discretization, an auxiliary variable is hereby introduced, and a particular numerical scheme is offered to rewrite the equations in lower-order form. Stability of the suggested numerical method is also analyzed. Subsequently, in order to display the ability of the presented model, four different test cases are considered. In these test cases, dispersive and nonlinearity effects of the periodic waves over sloping beaches and barred beaches, which are the common coastal profiles, are investigated. Outputs are compared with other existing numerical and experiment...

While much ink has been spilled over the study of income inequality and economic growth, little a... more While much ink has been spilled over the study of income inequality and economic growth, little attention has been paid to investigate the interaction between these variables of interest in resource-dependent economies. The present paper develops a two-sector small open economy model including two groups of households (the rich and the poor). The mechanism is derived by two forces: 1) a composition of productivity growth with Learning by Doing (LBD) and capital accumulation with absorptive capacity constraints on the supply-side 2) a change in the relative demand of the non-traded to the traded goods on the demand-side. Applying a panel data approach for a sample database of 40 countries over the period 1975-2015, I evaluate the predictions of my theory. The main findings are fourfold. In response to a windfall income, first, the natural resource curse (i.e. the Dutch disease and Deindustrialization) appears. Second, income inequality rises if the non-traded sector is relatively cap...

Journal of Hydroinformatics, 2012

A numerical model based on two-dimensional shallow water equations is presented. The depthaverage... more A numerical model based on two-dimensional shallow water equations is presented. The depthaveraged velocity components with free-surface elevation have been used as independent variables in the model. The finite element technique is applied to discretize the spatial derivatives.

Journal of Coastal Research, 2015

In this study, free surface elevation is predicted by using a new finite element scheme. This num... more In this study, free surface elevation is predicted by using a new finite element scheme. This numerical method solves a
Nwogu Boussinesq equation system to simulate wave propagation in the complicated bathymetry of coastal regions. The
numerical approach is based on a Galerkin finite element approach for spatial discretization and Adam-Bashforth-
Moulton predictor-corrector strategy for time integration. Governing equations are rewritten in lower-order forms by
introducing a novel form of auxiliary variable in order to make the application of the linear finite element method
possible. Then, the stability of the suggested finite element schemes is studied using a theoretical analysis. For the
validation of the present numerical method, five test cases are considered to show the capability of the numerical model
for simulating the free surface elevation of wave propagation over different beach profiles where the nonlinear and
dispersive effects are so important. The simulated results agree well with experimental observations.

This paper presents a numerical model based on one-dimensional Beji and Nadaoka's Extended Boussi... more This paper presents a numerical model based on one-dimensional Beji and Nadaoka's Extended Boussinesq equations for simulation of periodic wave shoaling and its decomposition over morphological beaches. A unique Galerkin finite element and Adams-Bashforth-Moulton predictor-corrector methods are employed for spatial and temporal discretization, respectively. For direct application of linear finite element method in spatial discretization, an auxiliary variable is hereby introduced, and a particular numerical scheme is offered to rewrite the equations in lower-order form. Stability of the suggested numerical method is also analyzed. Subsequently, in order to display the ability of the presented model, four different test cases are considered. In these test cases, dispersive and nonlinearity effects of the periodic waves over sloping beaches and barred beaches, which are the common coastal profiles, are investigated. Outputs are compared with other existing numerical and experimental data. Finally, it is concluded that the current model can be further developed to model any morphological development of coastal profiles.

In this study, shoaling phenomenon is analyzed using Galerkin finite element approach. This numer... more In this study, shoaling phenomenon is analyzed using Galerkin finite element approach. This numerical scheme is applied to the extended Boussinesq equations derived by for simulation of shoaling on plane beaches. For spatial discretization, quadratic elements with three-station Lagrange interpolation polynomials are used for horizontal velocity and the water surface elevation. However, for time discretization, two different numerical schemes are used. The first method is a combination of semi-implicit schemes with low-order backward finite difference for time integration and the second method is high-order Adam-Bashforth-Moulton predictor-corrector strategy. Based on this numerical approach, shoaling phenomenon caused by propagation of a solitary wave on sloped beaches is modeled and the results are compared with the available results from the fully nonlinear potential flow model. Considering the fact that the extended Boussinesq equations are affected by nonlinear effects, a non-dimensional parameter called "Asymmetric Parameter" is introduced. This parameter expresses the effects of the travelled distance of the solitary wave as well as the relative wave height on the resulting wave asymmetry. Finally, using this parameter, shoaling coefficient has been computed in an appropriate range.

Finite element modeling of one-dimensional Beji and Nadaoka Boussinesq equation is presented. The... more Finite element modeling of one-dimensional Beji and Nadaoka Boussinesq equation is presented. The continuous equations are spatially discretized using standard Galerkin method. Since the extended Boussinesq equations contain high-order derivatives, two different numerical techniques are proposed in this paper in order to simplify the discretization task of the third-order terms. In the first technique, an auxiliary equation is introduced to eliminate the third-order derivatives of the momentum equation while non-overlapping elements with linear interpolating functions are employed to account for the dependent variables. However, in the second method, overlapping elements with quadratic interpolating functions are applied for discretizing the governing equations. Time integration is performed using the Adams-Bashforth-Moulton predictor-corrector method. By considering the truncation error and theoretical analysis for both of the numerical techniques, accuracy and stability of the adopted finite element schemes have been studied. Finally, a computer code is developed based on the proposed schemes. To show the validity as well as the practicality of the developed code, five different test cases are presented, and the results are compared with some analytical solutions and experimental data. Favorable agreements have been achieved in all cases.

A numerical model based on two-dimensional shallow water equations is presented. The depthaverage... more A numerical model based on two-dimensional shallow water equations is presented. The depthaveraged velocity components with free-surface elevation have been used as independent variables in the model. The finite element technique is applied to discretize the spatial derivatives.