DPDC (double-pass donor cell): A second-order monotone scheme for advection

Conference · Mon Sep 26 04:00:00 EDT 1988

OSTI ID:7049237

Beason, C W; Margolin, L G

We are developing a new, second-order, monotone scheme for advection. DPDC (i.e., double-pass donor cell) is based on Smolarkiewicz' simple, positive definite method. Both schemes are multipass methods in which upstream approximations to the truncation error are subtracted from the equations. We describe two significant improvements to Smolarkiewicz' method. First, we use a local gauge transformation to convert the method from being positive definite to the stronger condition of being monotone. Second, we analytically approximate the sum of the corrections of all the passes to use in a single corrective pass. This increases the accuracy of the method, but does not increase the order of accuracy. We compare DPDC with van Leer's method for advection of several different pulses in a constant velocity field. 5 refs., 4 figs.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 7049237
• Report Number(s): UCRL-99731; CONF-881093-7; ON: DE89002658
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990230 -- Mathematics & Mathematical Models-- (1987-1989)
ADVECTION
ALGORITHMS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
MASS TRANSFER
MATHEMATICAL LOGIC
PARTIAL DIFFERENTIAL EQUATIONS
SERIES EXPANSION