Dynamic mesh adaptation for front evolution using discontinuous Galerkin based weighted condition number relaxation

DOI10.1016/j.jcp.2017.01.049zbMath1380.65233OpenAlexW2526707105MaRDI QIDQ1685459

Patrick T. Greene, Samuel P. Schofield, Robert R. Nourgaliev

Publication date: 14 December 2017

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.01.049

zbMATH Keywords

level setWENOdiscontinuous Galerkin discretizationarbitrary Lagrangian Eulerian methodweighted mesh smoothingr-refinementcondition number mesh relaxation

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

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 fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids, Accelerating high-order mesh optimization using finite element partial assembly on GPUs

Uses Software

• RAJA

Cites Work

• Unnamed Item
• Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations
• A Hermite WENO reconstruction-based discontinuous Galerkin method for the Euler equations on tetrahedral grids
• Discretizations for weighted condition number smoothing on general unstructured meshes
• A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
• A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids
• Volume of fluid (VOF) method for the dynamics of free boundaries
• A level set approach for computing solutions to incompressible two-phase flow
• Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods
• Dynamic mesh adaptation for front evolution using discontinuous Galerkin based weighted condition number relaxation
• A fast level set method for propagating interfaces
• A reconstructed discontinuous Galerkin method based on a hierarchical WENO reconstruction for compressible flows on tetrahedral grids
• Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part I?a framework for surface mesh optimization
• A Framework for Variational Grid Generation: Conditioning the Jacobian Matrix with Matrix Norms
• A fast marching level set method for monotonically advancing fronts.
• An arbitrary Lagrangian-Eulerian computing method for all flow speeds