Multi-dimensional asymptotically stable finite difference schemes for the advection-diffusion equation

Computers and Fluids

Volumn 28, Issue 4-5, 1999, Pages 481-510

  Abarbanel, Saul ^a   Ditkowski, Adi ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; DIFFERENTIATION (CALCULUS); EQUATIONS OF MOTION; FINITE DIFFERENCE METHOD; MATRIX ALGEBRA; PROBLEM SOLVING;

ADVECTION-DIFFUSION EQUATION; DIRICHLET BOUNDARY CONDITION;

COMPUTATIONAL FLUID DYNAMICS;

ADVECTION; BOUNDARY CONDITIONS; DIFFUSION; FINITE DIFFERENCE TECHNIQUE;

EID: 0032781947     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(98)00042-5     Document Type: Article

References (4)

1. Carpenter MH, Gottlieb D, Abarbanel S. time stable boundary conditions for finite difference schemes solving hyperbolic systems: methodology and application to high order compact schemes. NASA Contractor Report 191436, ICASE Report no. 93-9 (in press).
2. Abarbanel S, Ditkowski A. Multi-dimensional asymptotically stable 4th-order accurate schemes for the diffusion equation. ICASE Report no. 96-8, February 1996, also J. Comp. Physics, V.133, pp. 279-288 (1997).
3. Gustafsson B., Kreiss H.O., Sundström A. Stability theory of difference approximations for mixed initial boundary value problems, II. Math Comput. 26:1972;649-686.
4. Abarbanel S., Bennet S., Brandt A., Gillis J. Velocity profiles of flow at low reynolds numbers. J Appl Mech. 37E:(1):1970;1-3.