High order finite volume schemes for solving the non-conservative convection equations on the unstructured grids
DOI10.1007/s10915-021-01538-4zbMath1498.65142OpenAlexW3173456790MaRDI QIDQ2049084
Qian-Min Huang, Qian Wang, Yu-xin Ren
Publication date: 24 August 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01538-4
eikonal equationvariational reconstructionconvective reconstructionnon-conservative convection equation
PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Variational methods applied to PDEs (35A15) Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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