\(H\)-adaptive mesh method with double tolerance adaptive strategy for hyperbolic conservation laws

DOI10.1007/s10915-013-9692-1zbMath1275.65049OpenAlexW2087211091MaRDI QIDQ368084

Shuonan Wu, Ruo Li

Publication date: 18 September 2013

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-013-9692-1

zbMATH Keywords

algorithmhyperbolic conservation lawsnumerical result\(h\)-adaptive mesh methoddouble tolerance adaptive strategy

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (2)

An approximate solver for multi-medium Riemann problem with Mie-Grüneisen equations of state ⋮ Efficient GPU-implementation of adaptive mesh refinement for the shallow-water equations

Uses Software

• AMRCLAW

Cites Work

• Unnamed Item
• Unnamed Item
• Adaptive quadtree simulation of shallow flows with wet-dry fronts over complex topography
• Adaptive mesh refinement for hyperbolic partial differential equations
• High resolution schemes for hyperbolic conservation laws
• Local adaptive mesh refinement for shock hydrodynamics
• Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver.
• Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids
• An unstructured finite-volume algorithm for predicting flow in rivers and estuaries
• On multi-mesh \(H\)-adaptive methods
• On the Relation Between the Upwind-Differencing Schemes of Godunov, Engquist–Osher and Roe
• Hydrodynamics of Free Surface Flows
• On Convergence of a Domain Decomposition Method for a Scalar Conservation Law
• Godunov-type solution of the shallow water equations on adaptive unstructured triangular grids
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Finite element method for moving boundary problems in river flow
• Splines (with optimal knots) are better
• Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems
• Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
• A numerical model for the flooding and drying of irregular domains
• Accuracy of the Adaptive GRP Scheme and the Simulation of 2-D Riemann Problems for Compressible Euler Equations
• Numerical Simulation of Compressible Vortical Flows Using a Conservative Unstructured-Grid Adaptive Scheme
• A h-Adaptive Algorithm Using Residual Error Estimates for Fluid Flows
• Simulation of dam- and dyke-break hydrodynamics on dynamically adaptive quadtree grids
• Robust a Simulation for Shallow Flows with Friction on Rough Topography

This page was built for publication: \(H\)-adaptive mesh method with double tolerance adaptive strategy for hyperbolic conservation laws