Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation

2002/05/01 by Z.J. Wang · 514 citations
Engineering · Mathematics · #Algorithm #Applied mathematics #Bounded variation #Classification of discontinuities #Computational Fluid Dynamics and Aerodynamics #Computational science #Conservation law #Control volume #Extended finite element method #Finite element method #Finite volume method #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Mathematical analysis #Mathematics #Mechanics #Physics #Spectral element method #Spectral method #Stencil

paper · doi:10.1006/jcph.2002.7041

published in Journal of Computational Physics 178(1), 210-251 (Elsevier BV)

openalex publication_date 2002/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Cited by

• Spectral difference method for unstructured grids I: Basic formulation
• A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
• A Hybrid Reconstruction Framework for Efficient High-Order Shock-Capturing on Unstructured Meshes
• A two-stage fourth-order gas-kinetic CPR method for the Navier-Stokes equations on triangular meshes
• Uniformly High Order Discontinuous Galerkin Gas Kinetic Scheme for Compressible flows
• High-Order Implicit Large-Eddy Simulation of Flow over a Marine Propeller
• An operator-based local discontinuous Galerkin method compatible with the BSSN formulation of the Einstein equations
• Morphing continuum theory for turbulence: Theory, computation, and visualization
• A High-Order Multiscale Approach to Turbulence for Compact Nodal Schemes. [europepmc]