Johan Lorentzon | Lund University (original) (raw)
Papers by Johan Lorentzon
European Journal of Mechanics - B/Fluids
The stability of relaxation techniques has been studied for strongly coupled fluid-structure inte... more The stability of relaxation techniques has been studied for strongly coupled fluid-structure interaction (FSI) with application to a cantilever immersed in channel flow. The fluid is governed by Navier-Stokes equations for incompressible flow condition using turbulence modelling and the solid is governed by the equation of motion with compressible material modelling. The applied kinematic description is Lagrangian for the solid and Eulerian for the fluid. The coupling of the state solvers is achieved by the Arbitrary Lagrange-Euler procedure which involves a mesh motion solver and the FSI procedure is stabilised by relaxation. It is shown that the stability can be related to the frequency shift caused by FSI and they follow the same rate for the shape factor of the structure with an offset. This correlates well to theoretical results but also show that for given mesh resolution, all relaxations fail for sufficient high-frequency shift. We also propose a continuation technique to sta...
The dynamic response of cantilevers to a hydrodynamic load has been studied numerically. The Reyn... more The dynamic response of cantilevers to a hydrodynamic load has been studied numerically. The Reynolds number of the flow was fixed at 5000 and the variation in re-duced velocity was achieved by varying the Young’s modulus of the cantilever. Cantilevers with aspectratios of 5 and 10 were considered for reduced velocities in the range 2 to 30. The simulations were performed using a strongly coupled FSI tool based in the open source projects DEAL. IIand Open FOAM. The results show that as the eigenfrequency of the cantilever coincides with the vortex shedding frequency, the amplitude of the oscillation substantially increases, as expected. However, no desynchronization is observed for higher values of reduced velocity. Instead the amplitude remains fairly constant for the shorter cantilever and continuously increase for the longer one. (Less)
International Journal for Numerical Methods in Engineering, 2019
This study presents an approach for partitioned fluid-structure interaction (FSI) applied to larg... more This study presents an approach for partitioned fluid-structure interaction (FSI) applied to large structural deformations, where an incompressible turbulent solver is combined with a structural solver. The implementation is based upon two different open-source libraries by using MPI as a parallel communication protocol, the packages and OpenFOAM. FSI is achieved through a strongly-coupled scheme. The solver has been validated against cases with a submerged cantilever in a channel flow to which experiments, numerical calculations and theoretical solutions are available. The verification of the procedure is performed by using a solid-solid interaction (SSI) study. The solver has proven to be robust and has the same parallel efficiency as the fluid and the solid solver stand-alone. (Less)
A study was performed on the passive control of Vortex-Induced Vibrations (VIV) for three differe... more A study was performed on the passive control of Vortex-Induced Vibrations (VIV) for three different geometric forms of cantilever twisted/taper/taper-twisted subjected to a turbulent flow. The method used is LES with dynamic Smagorinsky model, TVD spatial scheme and backward difference scheme in time. The results show a reduction of the drag coefficient (Cd) on mean by 5% and a reduction of the RMS of lift coefficient (Cl) by 50/80% for taper/twisted configuration, which is consistent with related studies. DMD analysis also show that the shear layer around the cantilever is desynchronized but further downstream it re-synchronize prior to the re-attachement point of the flow. This lead to a larger wake and street vortex with shape that reflects the deformation of the cantilever.
This Master Thesis in Technical Mathematics at LTH, directed towards simulation and computation, ... more This Master Thesis in Technical Mathematics at LTH, directed towards simulation and computation, has treated the subject of fluid-structure interaction (FSI) for incompressible flow with small vibrations. The open source packages DEAL.II and OpenFOAM have been used to create a coupling between a finite element formulation for structure and a finite volume formulation for fluid ( gas or liquid ). A staggered solution algorithm for FSI has been implemented in C++ using Aitkens relaxation method together with a Reduced-Order-Model (ROM). The solution algorithm has been validated by using an application consisting of a cantilever immersed in a steady flow transversal to its axial direction. Also, vortex-induced vibrations (VIV) were calculated as a function of the flow velocity and successfully compared to empirical data. The study has demonstrated the usefulness of artifical damping to solve boundary condition problems in incompressible flow. The method presented is general and has a s...
Journal of The American Chemical Society, 1995
Abstract: The complete active space (CAS) SCF method combined with multiconfigurational second-or... more Abstract: The complete active space (CAS) SCF method combined with multiconfigurational second-order perturbation theory has been used to study the electronic spectra-ie, vertical excitation energies, oscilator strengths, and transition moment directions-of the nucleic acid base ...
Theoretical Chemistry Accounts, 1995
ABSTRACT The valence excited states and the 3s, 3p, and 3d (united atom) Rydberg states of benzen... more ABSTRACT The valence excited states and the 3s, 3p, and 3d (united atom) Rydberg states of benzene and phenol have been obtained by the CASPT2 method, which computes a second-order perturbation correction to complete active space self-consistent field (CASSCF) energies. All non-zero dipole oscillator strengths are also computed, at the CASSCF level. For benzene, 16 singlet and 16 triplet states with excitation energies up to ca. 7.86 eV (63 400 cm–1) are obtained. Of these, 12 singlet and three triplet energies are experimentally known well enough to allow meaningful comparison. The average error is around 0.1 eV. The highest of these singlet states (21 E2g) is the highest valence * state predicted by elementary -electron theory. Its energy is then considerably lower than has been suggested from laser flash experiments, but in perfect agreement with a reinterpretation of that experiment. For phenol, 27 singlet states are obtained, in the range 4.53–7.84 eV (63 300 cm–1). Only the lowest has a well-known experimental energy, which agrees with the computed result within 0.03 eV. The ionization energy is in error by 0.05 eV.
Theoretical Chemistry Accounts, 1995
The electronic excitation spectra of pyridine and phosphabenzene have been studied using theoreti... more The electronic excitation spectra of pyridine and phosphabenzene have been studied using theoretical methods. The electronic states are described by wave functions derived from second-order perturbation theory based on multiconfigurational reference functions. The study includes singlet and triplet valences excited states as well as a number of Rydberg states. For both molecules the transition energies to the two lowest p ? p* excited singlet states are known from experiment and reproduced with an accuracy of 0.15 eV or better, while then ? p* transition energies are predicted with a somewhat uncertain error of about 0.2 eV. The calculations suggest the lowestn ? p* transition detected experimentally in pyridine corresponds to an adiabatic transition. 43 electronic states have been determined in each of the molecules.
Theoretical Chemistry Accounts, 1995
The electronic excitation spectra of pyridine and phosphabenzene have been studied using theoreti... more The electronic excitation spectra of pyridine and phosphabenzene have been studied using theoretical methods. The electronic states are described by wave functions derived from second-order perturbation theory based on multiconfigurational reference functions. The study includes singlet and triplet valences excited states as well as a number of Rydberg states. For both molecules the transition energies to the two lowest π → π* excited singlet states are known from experiment and reproduced with an accuracy of 0.15 eV or better, while then → π* transition energies are predicted with a somewhat uncertain error of about 0.2 eV. The calculations suggest the lowestn → π* transition detected experimentally in pyridine corresponds to an adiabatic transition. 43 electronic states have been determined in each of the molecules.
Theoretical Chemistry Accounts, 1995
The electronic excitation spectra of pyridine and phosphabenzene have been studied using theoreti... more The electronic excitation spectra of pyridine and phosphabenzene have been studied using theoretical methods. The electronic states are described by wave functions derived from second-order perturbation theory based on multiconfigurational reference functions. The study includes singlet and triplet valences excited states as well as a number of Rydberg states. For both molecules the transition energies to the two lowest p ? p* excited singlet states are known from experiment and reproduced with an accuracy of 0.15 eV or better, while then ? p* transition energies are predicted with a somewhat uncertain error of about 0.2 eV. The calculations suggest the lowestn ? p* transition detected experimentally in pyridine corresponds to an adiabatic transition. 43 electronic states have been determined in each of the molecules.
Journal of The American Chemical Society, 1993
... Reorganization energies, commonly denoted A, are important parameters in the Marcus theory of... more ... Reorganization energies, commonly denoted A, are important parameters in the Marcus theory of outer-sphere electron transfer.lS2 In simple terms, the reorganization energy represents the free energy increase associated with the structural changes of the reactants and their ...
Theoretical Chemistry Accounts, 1995
The valence excited states and the 3s, 3p, and 3d (united atom) Rydberg states of benzene and phe... more The valence excited states and the 3s, 3p, and 3d (united atom) Rydberg states of benzene and phenol have been obtained by the CASPT2 method, which computes a second-order perturbation correction to complete active space self-consistent field (CASSCF) energies. All non-zero dipole oscillator strengths are also computed, at the CASSCF level. For benzene, 16 singlet and 16 triplet states with excitation energies up to ca. 7.86 eV (63 400 cm–1) are obtained. Of these, 12 singlet and three triplet energies are experimentally known well enough to allow meaningful comparison. The average error is around 0.1 eV. The highest of these singlet states (21 E2g) is the highest valence ππ* state predicted by elementary π-electron theory. Its energy is then considerably lower than has been suggested from laser flash experiments, but in perfect agreement with a reinterpretation of that experiment. For phenol, 27 singlet states are obtained, in the range 4.53–7.84 eV (63 300 cm−1). Only the lowest has a well-known experimental energy, which agrees with the computed result within 0.03 eV. The ionization energy is in error by 0.05 eV.
Theoretical Chemistry Accounts, 1995
ABSTRACT The valence excited states and the 3s, 3p, and 3d (united atom) Rydberg states of benzen... more ABSTRACT The valence excited states and the 3s, 3p, and 3d (united atom) Rydberg states of benzene and phenol have been obtained by the CASPT2 method, which computes a second-order perturbation correction to complete active space self-consistent field (CASSCF) energies. All non-zero dipole oscillator strengths are also computed, at the CASSCF level. For benzene, 16 singlet and 16 triplet states with excitation energies up to ca. 7.86 eV (63 400 cm–1) are obtained. Of these, 12 singlet and three triplet energies are experimentally known well enough to allow meaningful comparison. The average error is around 0.1 eV. The highest of these singlet states (21 E2g) is the highest valence * state predicted by elementary -electron theory. Its energy is then considerably lower than has been suggested from laser flash experiments, but in perfect agreement with a reinterpretation of that experiment. For phenol, 27 singlet states are obtained, in the range 4.53–7.84 eV (63 300 cm–1). Only the lowest has a well-known experimental energy, which agrees with the computed result within 0.03 eV. The ionization energy is in error by 0.05 eV.
European Journal of Mechanics - B/Fluids
The stability of relaxation techniques has been studied for strongly coupled fluid-structure inte... more The stability of relaxation techniques has been studied for strongly coupled fluid-structure interaction (FSI) with application to a cantilever immersed in channel flow. The fluid is governed by Navier-Stokes equations for incompressible flow condition using turbulence modelling and the solid is governed by the equation of motion with compressible material modelling. The applied kinematic description is Lagrangian for the solid and Eulerian for the fluid. The coupling of the state solvers is achieved by the Arbitrary Lagrange-Euler procedure which involves a mesh motion solver and the FSI procedure is stabilised by relaxation. It is shown that the stability can be related to the frequency shift caused by FSI and they follow the same rate for the shape factor of the structure with an offset. This correlates well to theoretical results but also show that for given mesh resolution, all relaxations fail for sufficient high-frequency shift. We also propose a continuation technique to sta...
The dynamic response of cantilevers to a hydrodynamic load has been studied numerically. The Reyn... more The dynamic response of cantilevers to a hydrodynamic load has been studied numerically. The Reynolds number of the flow was fixed at 5000 and the variation in re-duced velocity was achieved by varying the Young’s modulus of the cantilever. Cantilevers with aspectratios of 5 and 10 were considered for reduced velocities in the range 2 to 30. The simulations were performed using a strongly coupled FSI tool based in the open source projects DEAL. IIand Open FOAM. The results show that as the eigenfrequency of the cantilever coincides with the vortex shedding frequency, the amplitude of the oscillation substantially increases, as expected. However, no desynchronization is observed for higher values of reduced velocity. Instead the amplitude remains fairly constant for the shorter cantilever and continuously increase for the longer one. (Less)
International Journal for Numerical Methods in Engineering, 2019
This study presents an approach for partitioned fluid-structure interaction (FSI) applied to larg... more This study presents an approach for partitioned fluid-structure interaction (FSI) applied to large structural deformations, where an incompressible turbulent solver is combined with a structural solver. The implementation is based upon two different open-source libraries by using MPI as a parallel communication protocol, the packages and OpenFOAM. FSI is achieved through a strongly-coupled scheme. The solver has been validated against cases with a submerged cantilever in a channel flow to which experiments, numerical calculations and theoretical solutions are available. The verification of the procedure is performed by using a solid-solid interaction (SSI) study. The solver has proven to be robust and has the same parallel efficiency as the fluid and the solid solver stand-alone. (Less)
A study was performed on the passive control of Vortex-Induced Vibrations (VIV) for three differe... more A study was performed on the passive control of Vortex-Induced Vibrations (VIV) for three different geometric forms of cantilever twisted/taper/taper-twisted subjected to a turbulent flow. The method used is LES with dynamic Smagorinsky model, TVD spatial scheme and backward difference scheme in time. The results show a reduction of the drag coefficient (Cd) on mean by 5% and a reduction of the RMS of lift coefficient (Cl) by 50/80% for taper/twisted configuration, which is consistent with related studies. DMD analysis also show that the shear layer around the cantilever is desynchronized but further downstream it re-synchronize prior to the re-attachement point of the flow. This lead to a larger wake and street vortex with shape that reflects the deformation of the cantilever.
This Master Thesis in Technical Mathematics at LTH, directed towards simulation and computation, ... more This Master Thesis in Technical Mathematics at LTH, directed towards simulation and computation, has treated the subject of fluid-structure interaction (FSI) for incompressible flow with small vibrations. The open source packages DEAL.II and OpenFOAM have been used to create a coupling between a finite element formulation for structure and a finite volume formulation for fluid ( gas or liquid ). A staggered solution algorithm for FSI has been implemented in C++ using Aitkens relaxation method together with a Reduced-Order-Model (ROM). The solution algorithm has been validated by using an application consisting of a cantilever immersed in a steady flow transversal to its axial direction. Also, vortex-induced vibrations (VIV) were calculated as a function of the flow velocity and successfully compared to empirical data. The study has demonstrated the usefulness of artifical damping to solve boundary condition problems in incompressible flow. The method presented is general and has a s...
Journal of The American Chemical Society, 1995
Abstract: The complete active space (CAS) SCF method combined with multiconfigurational second-or... more Abstract: The complete active space (CAS) SCF method combined with multiconfigurational second-order perturbation theory has been used to study the electronic spectra-ie, vertical excitation energies, oscilator strengths, and transition moment directions-of the nucleic acid base ...
Theoretical Chemistry Accounts, 1995
ABSTRACT The valence excited states and the 3s, 3p, and 3d (united atom) Rydberg states of benzen... more ABSTRACT The valence excited states and the 3s, 3p, and 3d (united atom) Rydberg states of benzene and phenol have been obtained by the CASPT2 method, which computes a second-order perturbation correction to complete active space self-consistent field (CASSCF) energies. All non-zero dipole oscillator strengths are also computed, at the CASSCF level. For benzene, 16 singlet and 16 triplet states with excitation energies up to ca. 7.86 eV (63 400 cm–1) are obtained. Of these, 12 singlet and three triplet energies are experimentally known well enough to allow meaningful comparison. The average error is around 0.1 eV. The highest of these singlet states (21 E2g) is the highest valence * state predicted by elementary -electron theory. Its energy is then considerably lower than has been suggested from laser flash experiments, but in perfect agreement with a reinterpretation of that experiment. For phenol, 27 singlet states are obtained, in the range 4.53–7.84 eV (63 300 cm–1). Only the lowest has a well-known experimental energy, which agrees with the computed result within 0.03 eV. The ionization energy is in error by 0.05 eV.
Theoretical Chemistry Accounts, 1995
The electronic excitation spectra of pyridine and phosphabenzene have been studied using theoreti... more The electronic excitation spectra of pyridine and phosphabenzene have been studied using theoretical methods. The electronic states are described by wave functions derived from second-order perturbation theory based on multiconfigurational reference functions. The study includes singlet and triplet valences excited states as well as a number of Rydberg states. For both molecules the transition energies to the two lowest p ? p* excited singlet states are known from experiment and reproduced with an accuracy of 0.15 eV or better, while then ? p* transition energies are predicted with a somewhat uncertain error of about 0.2 eV. The calculations suggest the lowestn ? p* transition detected experimentally in pyridine corresponds to an adiabatic transition. 43 electronic states have been determined in each of the molecules.
Theoretical Chemistry Accounts, 1995
The electronic excitation spectra of pyridine and phosphabenzene have been studied using theoreti... more The electronic excitation spectra of pyridine and phosphabenzene have been studied using theoretical methods. The electronic states are described by wave functions derived from second-order perturbation theory based on multiconfigurational reference functions. The study includes singlet and triplet valences excited states as well as a number of Rydberg states. For both molecules the transition energies to the two lowest π → π* excited singlet states are known from experiment and reproduced with an accuracy of 0.15 eV or better, while then → π* transition energies are predicted with a somewhat uncertain error of about 0.2 eV. The calculations suggest the lowestn → π* transition detected experimentally in pyridine corresponds to an adiabatic transition. 43 electronic states have been determined in each of the molecules.
Theoretical Chemistry Accounts, 1995
The electronic excitation spectra of pyridine and phosphabenzene have been studied using theoreti... more The electronic excitation spectra of pyridine and phosphabenzene have been studied using theoretical methods. The electronic states are described by wave functions derived from second-order perturbation theory based on multiconfigurational reference functions. The study includes singlet and triplet valences excited states as well as a number of Rydberg states. For both molecules the transition energies to the two lowest p ? p* excited singlet states are known from experiment and reproduced with an accuracy of 0.15 eV or better, while then ? p* transition energies are predicted with a somewhat uncertain error of about 0.2 eV. The calculations suggest the lowestn ? p* transition detected experimentally in pyridine corresponds to an adiabatic transition. 43 electronic states have been determined in each of the molecules.
Journal of The American Chemical Society, 1993
... Reorganization energies, commonly denoted A, are important parameters in the Marcus theory of... more ... Reorganization energies, commonly denoted A, are important parameters in the Marcus theory of outer-sphere electron transfer.lS2 In simple terms, the reorganization energy represents the free energy increase associated with the structural changes of the reactants and their ...
Theoretical Chemistry Accounts, 1995
The valence excited states and the 3s, 3p, and 3d (united atom) Rydberg states of benzene and phe... more The valence excited states and the 3s, 3p, and 3d (united atom) Rydberg states of benzene and phenol have been obtained by the CASPT2 method, which computes a second-order perturbation correction to complete active space self-consistent field (CASSCF) energies. All non-zero dipole oscillator strengths are also computed, at the CASSCF level. For benzene, 16 singlet and 16 triplet states with excitation energies up to ca. 7.86 eV (63 400 cm–1) are obtained. Of these, 12 singlet and three triplet energies are experimentally known well enough to allow meaningful comparison. The average error is around 0.1 eV. The highest of these singlet states (21 E2g) is the highest valence ππ* state predicted by elementary π-electron theory. Its energy is then considerably lower than has been suggested from laser flash experiments, but in perfect agreement with a reinterpretation of that experiment. For phenol, 27 singlet states are obtained, in the range 4.53–7.84 eV (63 300 cm−1). Only the lowest has a well-known experimental energy, which agrees with the computed result within 0.03 eV. The ionization energy is in error by 0.05 eV.
Theoretical Chemistry Accounts, 1995
ABSTRACT The valence excited states and the 3s, 3p, and 3d (united atom) Rydberg states of benzen... more ABSTRACT The valence excited states and the 3s, 3p, and 3d (united atom) Rydberg states of benzene and phenol have been obtained by the CASPT2 method, which computes a second-order perturbation correction to complete active space self-consistent field (CASSCF) energies. All non-zero dipole oscillator strengths are also computed, at the CASSCF level. For benzene, 16 singlet and 16 triplet states with excitation energies up to ca. 7.86 eV (63 400 cm–1) are obtained. Of these, 12 singlet and three triplet energies are experimentally known well enough to allow meaningful comparison. The average error is around 0.1 eV. The highest of these singlet states (21 E2g) is the highest valence * state predicted by elementary -electron theory. Its energy is then considerably lower than has been suggested from laser flash experiments, but in perfect agreement with a reinterpretation of that experiment. For phenol, 27 singlet states are obtained, in the range 4.53–7.84 eV (63 300 cm–1). Only the lowest has a well-known experimental energy, which agrees with the computed result within 0.03 eV. The ionization energy is in error by 0.05 eV.