The bifurcation of tracked scalar waves

Journal Article · Fri Jan 01 00:00:00 EST 1988 · SIAM J. Sci. Stat. Comput.; (United States)

DOI:https://doi.org/10.1137/0909006· OSTI ID:5458543

Glimm, J; Grove, J; Lindquist, B; McBryan, O A; Tryggvason, G

The dynamic evolution of tracked waves by a front-tracking algorithm may lead on either numerical or physical grounds to intersections. The correct resolution of these intersections is described locally by the solution of Riemann problems and requires a bifurcation of the topology defined by the tracked waves. Here the authors describe an algorithm that is appropriate for the resolution of scalar tracked waves, such as material discontinuities, contact discontinuities in gas dynamics, or constituent concentration waves including oil-water banks in oil reservoirs. Although the algorithm is not fully general, it seems to be adequate provided the front to be untangled is a small perturbation (resulting for example from a single time step in an evolution) of a valid, nonintersecting front. Examples are presented that show that complicated interfaces can be generated automatically from simple ones through successive bifurcations.

• Research Organization: Dept. of Mathematics, Courant Institute of Mathematical Sciences, New York Univ., New York, NY 10012
• OSTI ID: 5458543
• Journal Information: SIAM J. Sci. Stat. Comput.; (United States), Vol. 9:1
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
WAVE FORCES
TOPOLOGY
ALGORITHMS
DEMONSTRATION PROGRAMS
DISTURBANCES
PARTIAL DIFFERENTIAL EQUATIONS
RIEMANN SPACE
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL LOGIC
MATHEMATICAL SPACE
MATHEMATICS
SPACE
990210* - Supercomputers- (1987-1989)