Triangle based TVD schemes for hyperbolic conservation laws. Final report

Technical Report · Mon Jan 01 00:00:00 EST 1990

OSTI ID:6988678

Durlofsky, L J; Osher, S; Engquist, B

A triangle based total variation diminishing (TVD) scheme for the numerical approximation of hyperbolic conservation laws in two space dimensions is constructed. The novelty of the scheme lies in the nature of the preprocessing of the cell averaged data, which is accomplished via a nearest neighbor linear interpolation followed by a slope limiting procedures. Two such limiting procedures are suggested. The resulting method is considerably more simple than other triangle based non-oscillatory approximations which, like this scheme, approximate the flux up to second order accuracy. Numerical results for linear advection and Burgers' equation are presented.

• Research Organization: National Aeronautics and Space Administration, Hampton, VA (USA). Inst. for Computer Applications in Science and Engineering
• OSTI ID: 6988678
• Report Number(s): N-90-16401; NASA-CR-181984; NAS-1.26:181984; ICASE-90-10; TRN: 90-026880
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONSERVATION LAWS
NUMERICAL ANALYSIS
ADVECTION
EQUATIONS
INTERPOLATION
PROGRESS REPORT
THEORETICAL DATA
TRIANGULAR CONFIGURATION
CONFIGURATION
DATA
DOCUMENT TYPES
INFORMATION
MASS TRANSFER
MATHEMATICS
NUMERICAL DATA
NUMERICAL SOLUTION
657000* - Theoretical & Mathematical Physics