A class of Lagrangian-Eulerian shock-capturing schemes for first-order hyperbolic problems with forcing terms
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Publication:2221152
DOI10.1007/s10915-020-01392-wzbMath1456.65056OpenAlexW3120907160WikidataQ115603774 ScholiaQ115603774MaRDI QIDQ2221152
Publication date: 26 January 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01392-w
balance lawsapplicationsconservative Lagrangian-Eulerian schemeshyperbolic problems with discontinuous fluxsingular and stiff source terms
Shock waves and blast waves in fluid mechanics (76L05) Flows in porous media; filtration; seepage (76S05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Liquid-liquid two component flows (76T06)
Related Items (7)
On a 1D model with nonlocal interactions and mass concentrations: an analytical-numerical approach* ⋮ A triangle-based positive semi-discrete Lagrangian-Eulerian scheme via the weak asymptotic method for scalar equations and systems of hyperbolic conservation laws ⋮ Convergence, bounded variation properties and Kruzhkov solution of a fully discrete Lagrangian–Eulerian scheme via weak asymptotic analysis for <scp>1D</scp> hyperbolic problems ⋮ A geometrically intrinsic Lagrangian-Eulerian scheme for 2D shallow water equations with variable topography and discontinuous data ⋮ On the Conservation Properties in Multiple Scale Coupling and Simulation for Darcy Flow with Hyperbolic-Transport in Complex Flows ⋮ A class of positive semi-discrete Lagrangian-Eulerian schemes for multidimensional systems of hyperbolic conservation laws ⋮ A semi-discrete Lagrangian-Eulerian scheme for hyperbolic-transport models
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