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

Journal Article · Sun Aug 01 00:00:00 EDT 1982 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(82)90075-4· OSTI ID:6574919

Loetstedt, P

A method is presented that is capable of following discontinuities in the solution of hyperbolic partial differential equations. At every time step for each cell in the neighborhood of the discontinuity, the fraction of the cell lying behind the discontinuity curve is updated. From this data the front is reconstructed. The method is applied to three scalar differential equations: inviscid Burgers' equation, the Buckley--Leverett Equation for immiscible porous flow, and the equation for two-phase miscible flow in a porous medium.

• Research Organization: Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6574919
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Journal Issue: 2 Vol. 47:2; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
MATERIALS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
POROUS MATERIALS
SOLUBILITY
TWO-PHASE FLOW