Complement to the ``Kolgan project

DOI10.1016/j.jcp.2012.03.011zbMath1245.76002OpenAlexW2267563347MaRDI QIDQ440647

Alexander V. Rodionov

Publication date: 19 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.03.011

zbMATH Keywords

limitersGodunov-type methodssecond-order methodshistory of computational fluid dynamicsnon-oscillatory schemes

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Development of contemporary mathematics (01A65) History of fluid mechanics (76-03)

Related Items (12)

A new mapped weighted essentially non-oscillatory method using rational mapping function ⋮ Extended bounds limiter for high-order finite-volume schemes on unstructured meshes ⋮ EBR-WENO scheme for solving gas dynamics problems with discontinuities on unstructured meshes ⋮ Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions ⋮ A second order PVM flux limiter method. Application to magnetohydrodynamics and shallow stratified flows ⋮ Numerical study of the Couette flow of a diatomic rarefied gas ⋮ Numerical study of Couette flow based on a nonlinear nonequilibrium kinetic model of the Boltzmann equation for monatomic gases ⋮ Arbitrary Lagrangian-Eulerian discrete velocity method with application to laser-induced plume expansion ⋮ A second-order modified ghost fluid method (2nd-MGFM) with discontinuous Galerkin method for 1-D compressible multi-medium problem with cylindrical and spherical symmetry ⋮ Artificial viscosity in Godunov-type schemes to cure the carbuncle phenomenon ⋮ Reprint of: ``EBR-WENO scheme for solving gas dynamics problems with discontinuities on unstructured meshes ⋮ Unnamed Item

Cites Work

• A historical oversight: Vladimir P. Kolgan and his high-resolution scheme
• Application of the principle of minimizing the derivative to the construction of finite-difference schemes for computing discontinuous solutions of gas dynamics. (Reprint)
• Flux-corrected transport. II: Generalizations of the method
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• The application of difference schemes of high accuracy to the numerical solution of hyperbolic equations
• Non-linear difference schemes for hyperbolic equations
• Unnamed Item
• Unnamed Item

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