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This paper extends the Nordhaus DICE model to include the demands for coal, oil, and natural gas.... more This paper extends the Nordhaus DICE model to include the demands for coal, oil, and natural gas. These demands depend on own price, prices of substitute fuels, per capita income, and population. An augmented Hotelling model captures the effect of depleting oil resources. A methodological advantage of including price, income, and population sensitive energy demand functions is that it allows substitution possibilities in the 'production' of emissions. Furthermore, it allows the analysis of energy tax regimes in an environment of growing world population and income, non-decreasing energy and carbon intensity, and declining petroleum availability.
21st AIAA Computational Fluid Dynamics Conference, 2013
In this paper we propose a new high-order solution framework for interface problems on non-interf... more In this paper we propose a new high-order solution framework for interface problems on non-interface-conforming meshes. The framework consists of a discontinuous Galerkin (DG) discretization, a simplex cut-cell technique, and an output-based adaptive scheme. We first present a DG discretization with a dual-consistent output evaluation for elliptic interface problems on interface-conforming meshes, and then extend the method to handle multi-physics interface problems, in particular conjugate heat transfer (CHT) problems. The method is then applied to non-interface-conforming meshes using a cut-cell technique, where the interface definition is completely separate from the mesh generation process. No assumption is made on the interface shape (other than Lipschitz continuity). We then equip our strategy with an output-based adaptive scheme for an accurate output prediction. Through numerical examples, we demonstrate high-order convergence for elliptic interface problems and CHT problems with both smooth and non-smooth interface shapes.
This paper extends the Nordhaus DICE model to include the demands for coal, oil, and natural gas.... more This paper extends the Nordhaus DICE model to include the demands for coal, oil, and natural gas. These demands depend on own price, prices of substitute fuels, per capita income, and population. An augmented Hotelling model captures the effect of depleting oil resources. A methodological advantage of including price, income, and population sensitive energy demand functions is that it allows substitution possibilities in the 'production' of emissions. Furthermore, it allows the analysis of energy tax regimes in an environment of growing world population and income, non-decreasing energy and carbon intensity, and declining petroleum availability.
21st AIAA Computational Fluid Dynamics Conference, 2013
In this paper we propose a new high-order solution framework for interface problems on non-interf... more In this paper we propose a new high-order solution framework for interface problems on non-interface-conforming meshes. The framework consists of a discontinuous Galerkin (DG) discretization, a simplex cut-cell technique, and an output-based adaptive scheme. We first present a DG discretization with a dual-consistent output evaluation for elliptic interface problems on interface-conforming meshes, and then extend the method to handle multi-physics interface problems, in particular conjugate heat transfer (CHT) problems. The method is then applied to non-interface-conforming meshes using a cut-cell technique, where the interface definition is completely separate from the mesh generation process. No assumption is made on the interface shape (other than Lipschitz continuity). We then equip our strategy with an output-based adaptive scheme for an accurate output prediction. Through numerical examples, we demonstrate high-order convergence for elliptic interface problems and CHT problems with both smooth and non-smooth interface shapes.