On hyperbolic method for diffusion with discontinuous coefficients

DOI10.1016/j.jcp.2018.04.027zbMath1415.65209OpenAlexW2802460274MaRDI QIDQ2424505

Hiroaki Nishikawa

Publication date: 25 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.04.027

zbMATH Keywords

finite volume methoddiscontinuous coefficientsmaterial interfacehyperbolic diffusionnondifferentiable

Mathematics Subject Classification ID

Heat equation (35K05) PDEs with low regular coefficients and/or low regular data (35R05) First-order hyperbolic systems (35L40) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (8)

Reconstructed discontinuous Galerkin methods for compressible flows based on a new hyperbolic Navier-Stokes system ⋮ High-order bicompact schemes for the quasilinear multidimensional diffusion equation ⋮ First order hyperbolic approach for anisotropic diffusion equation ⋮ High-order gradients with the shifted boundary method: an embedded enriched mixed formulation for elliptic PDEs ⋮ From hyperbolic diffusion scheme to gradient method: implicit Green-Gauss gradients for unstructured grids ⋮ Bicompact schemes for the multidimensional convection-diffusion equation ⋮ A novel least squares finite volume scheme for discontinuous diffusion on unstructured meshes ⋮ A hyperbolic Poisson solver for tetrahedral grids

Cites Work

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• First-, second-, and third-order finite-volume schemes for diffusion
• Solving diffusion equations with rough coefficients in rough grids
• Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces
• Reconstructed discontinuous Galerkin methods for linear advection-diffusion equations based on first-order hyperbolic system
• First, second, and third order finite-volume schemes for advection-diffusion
• Third-order active-flux scheme for advection diffusion: hyperbolic diffusion, boundary condition, and Newton solver
• Hyperbolic advection-diffusion schemes for high-Reynolds-number boundary-layer problems
• A stable and accurate partitioned algorithm for conjugate heat transfer
• Dimensional scaling and numerical similarity in hyperbolic method for diffusion
• Cell-centered high-order hyperbolic finite volume method for diffusion equation on unstructured grids
• A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes
• Preconditioning applied to variable and constant density flows
• Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids

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