The error-minimization-based rezone strategy for arbitrary Lagrangian-Eulerian methods

The Error-Minimization-based Rezone Strategy for Arbitrary Lagrangian-Eulerian Methods

The objective of the Arbitrary Lagrangian-Eulerian (ALE) methodology for solving multidimensional fluid flow problems is to move the computational mesh, using the flow as a guide, to improve the robustness, accuracy and efficiency of a simulation. The main elements in the ALE simulation are an explicit Lagrangian phase, a rezone phase in which a new mesh is defined, and a remapping (conservativ...

Optimization-Based Reference-Matrix Rezone Strategies for Arbitrary Lagrangian-Eulerian Methods on Unstructured Meshes

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Reference Jacobian Optimization-Based Rezone Strategies for Arbitrary Lagrangian Eulerian Methods

Reference Jacobian Rezoning Strategy for Arbitrary Lagrangian - Eulerian Methods on Polyhedral Grids

The rezoning step is an important part of the Arbitrary Lagrangian-Eulerian (ALE) simulation cycle. The objective of the rezoning algorithm is to improve geometric quality of the mesh elements by minimalistic repositioning of the mesh nodes. By means of numerical experiment we show that the Reference Jacobian rezoning effectively eliminates ill-shaped elements of 3D polyhedral grid while keepin...

The Error-Minimization-Based Strategy for Moving Mesh Methods

The typical elements in a numerical simulation of fluid flow using moving meshes are a time integration scheme, a rezone method in which a new mesh is defined, and a remapping (conservative interpolation) in which a solution is transferred to the new mesh. The objective of the rezone method is to move the computational mesh to improve the robustness, accuracy and eventually efficiency of the si...