Discretizations for weighted condition number smoothing on general unstructured meshes

DOI10.1016/j.compfluid.2010.10.025zbMath1433.65328OpenAlexW2051501819MaRDI QIDQ536800

Pavel Váchal, Pierre-Henri Maire

Publication date: 19 May 2011

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2010.10.025

zbMATH Keywords

condition numberr-adaptationweighted mesh smoothing

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (7)

A new hybrid adaptive mesh algorithm based on Voronoi tessellations and equi-distribution principle: algorithms and numerical experiments ⋮ A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids ⋮ Simulation-driven optimization of high-order meshes in ALE hydrodynamics ⋮ Dynamic mesh adaptation for front evolution using discontinuous Galerkin based weighted condition number relaxation ⋮ Towards Simulation-Driven Optimization of High-Order Meshes by the Target-Matrix Optimization Paradigm ⋮ A 2D unstructured multi-material Cell-Centered Arbitrary Lagrangian-Eulerian (CCALE) scheme using MOF interface reconstruction ⋮ Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: from first-order to high-orders. I: The one-dimensional case

Uses Software

• ReALE

Cites Work

• Unnamed Item
• Reale: a Reconnection-based Arbitrary-Lagrangian-Eulerian method
• Adaptive zoning for singular problems in two dimensions
• The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
• Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods
• Metric tensors for anisotropic mesh generation
• Variational mesh adaptation. II: Error estimates and monitor functions
• Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
• Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part I?a framework for surface mesh optimization
• Generation of Arbitrary Lagrangian–Eulerian (ALE) velocities, based on monitor functions, for the solution of compressible fluid equations
• An arbitrary Lagrangian-Eulerian computing method for all flow speeds

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