A front tracking method applied to Burgers' equation and two-phase porous flow

DOI10.1016/0021-9991(82)90075-4zbMath0491.76009OpenAlexW2131822226MaRDI QIDQ1167605

Per Loetstedt

Publication date: 1982

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

Full work available at URL: https://escholarship.org/uc/item/5b38m85m

zbMATH Keywords

hyperbolic equationsBuckley-Leverett equationinviscid Burgers' equationdiscontinuities in solutiontwo-phase miscible flow in porous medium

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Flows in porous media; filtration; seepage (76S05) Navier-Stokes equations (35Q30) Basic methods in fluid mechanics (76M99)

Related Items (9)

Numerical methods for tracking interfaces ⋮ On shock localization by digital image processing techniques ⋮ A scheme for the numerical solution of hyperbolic systems of conservation laws ⋮ Numerical solution of the Hele-Shaw equations ⋮ Free-surface viscous flow solution methods for ship hydrodynamics ⋮ An electromagnetic field algorithm for 2D implicit plasma simulation ⋮ The instability of fronts in a porous medium ⋮ A method for capturing sharp fluid interfaces on arbitrary meshes ⋮ A high-resolution characteristics-based implicit dual time-stepping VOF method for free surface flow simulation on unstructured grids

Cites Work

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• Flame advection and propagation algorithms
• Front tracking for hyperbolic systems
• Volume of fluid (VOF) method for the dynamics of free boundaries
• A numerical method for two phase flow with an unstable interface
• Numerical solution of a nonlinear hyperbolic equation by the random choice method
• A Test of Moving Mesh Refinement for 2-D Scalar Hyperbolic Problems
• Unstable fingers in two phase flow
• Glimm’s Method for Gas Dynamics

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