Development of irregular-grid finite difference method (IFDM) for governing equations in strong form

WSEAS Transactions on Mathematics

Volumn 5, Issue 10, 2006, Pages 1117-1122

  Xu, George ^a   Liu, G R ^b  

^a INSTITUTE OF HIGH PERFORMANCE COMPUTING   (Singapore)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Domain face; Gradient smoothing domain; Grid edge; IFDM; Quadrature; Stencil

Indexed keywords

ALGORITHMS; GEOMETRY; MATHEMATICAL OPERATORS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; POISSON EQUATION;

DOMAIN FACE; GRADIENT SMOOTHING DOMAIN; GRID EDGE; IRREGULAR-GRID FINITE DIFFERENCE METHOD; STENCIL;

FINITE DIFFERENCE METHOD;

EID: 33749011175     PISSN: 11092769     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. J.F. Thompson, B.K. Soni and N.P. Weatherill, Handbook of Grid Generation, CRC Press, 1999
2. I. Babuska, U. Banerjee and J.E. Osbor, Survey of meshless and generalized finite element methods: A unified approach, TICAM Report 02-03, University of Texas, Austin, 2002.
3. G.R. Liu, Mesh Free Methods: Moving beyond the Finite Element Method, CRC Press, 2002
4. G.R. Liu, Y.T. Gu, An Introduction to Meshfree Methods and their Programming, Springer, 2005
5. M.D. Greenberg, Advanced Engineering Mathematics, 2nd Edition, Prentice Hall, 1998
6. T. Barth, Apsects of unstructured grids and finite-volume solvers for the Euler and Navier-Stokes equations, VKI Lecture Series 1994, 1995.
7. T. Barth, Numerial methods for conservation laws on structured and unstructured meshes, VKI 2003 Lecture Series, 2003.
8. A. Haselbacher and J. Blazek, Accurate and Efficient Discretization of Navier-Stokes Equations on Mixed Grids, AIAA Journal, Vol, 38, No. 11, 2000, pp. 2094-2102.
9. J. Blazek, Computational Fluid Dynamics: Principles and Application, ELSEVIER Press, First-Edition, 2001
10. P.I. Crumpton, P. Moiner, and M.B. Giles, An Unstructured Algorithm for High Reynolds Number Flows on Highly-Stretched Grids, 10th Int. Conf. Num. Meth. For Laminar and Turbulent Flows, Swansea, England, 1997.