In this report, transport problems are solved with a particle method that takes into account the ... more In this report, transport problems are solved with a particle method that takes into account the Eulerian background flow field. Dispersion and other transport problems can be solved applying this model, as long as the corresponding transport process is formulated with a flux gradient relation, i.e., the advection-diffusion equation. The particle method has been made consistent with such a transport process. Since many 3D flow models are formulated in general coordinates, the 3D particle displacements are also given with respect to such a coordinate system. Analytical and numerical aspects of this particle method have been studied. The effectiveness of the method has been demonstrated with two academic test cases including streamlines in a recirculation zone and grid dependency in a discharge problem.
Convective or advective processes play a role in many models for civil engineering applications. ... more Convective or advective processes play a role in many models for civil engineering applications. For example in transport equations, in hydrodynamic equations or wave energy equations. In this paper, we will first describe the requirements for the civil engineering practice and subsequently introduce the principles of cyclic computation and the use of alternate operators for the advection terms. Then we will show some applications of these principles and how these principles can be incorporated in a very efficient three-dimensional model. In section 5 we will show some results on model systems applications. A method has been described for the approximation of convective processes in civil engineering applications. The robustness of this method and the accuracy both for transient and steady state solutions makes it attractive for use in computational codes that have to cover a broad range of practical problems.
In this report, transport problems are solved with a particle method that takes into account the ... more In this report, transport problems are solved with a particle method that takes into account the Eulerian background flow field. Dispersion and other transport problems can be solved applying this model, as long as the corresponding transport process is formulated with a flux gradient relation, i.e., the advection-diffusion equation. The particle method has been made consistent with such a transport process. Since many 3D flow models are formulated in general coordinates, the 3D particle displacements are also given with respect to such a coordinate system. Analytical and numerical aspects of this particle method have been studied. The effectiveness of the method has been demonstrated with two academic test cases including streamlines in a recirculation zone and grid dependency in a discharge problem.
Convective or advective processes play a role in many models for civil engineering applications. ... more Convective or advective processes play a role in many models for civil engineering applications. For example in transport equations, in hydrodynamic equations or wave energy equations. In this paper, we will first describe the requirements for the civil engineering practice and subsequently introduce the principles of cyclic computation and the use of alternate operators for the advection terms. Then we will show some applications of these principles and how these principles can be incorporated in a very efficient three-dimensional model. In section 5 we will show some results on model systems applications. A method has been described for the approximation of convective processes in civil engineering applications. The robustness of this method and the accuracy both for transient and steady state solutions makes it attractive for use in computational codes that have to cover a broad range of practical problems.
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