Multidimensional positive definite advection transport algorithm (MPDATA): An edge-based unstructured-data formulation

International Journal for Numerical Methods in Fluids

Volumn 47, Issue 10-11, 2005, Pages 1293-1299

  Smolarkiewicz, Piotr K ^a   Szmelter, Joanna ^b  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

^b CRANFIELD UNIVERSITY   (United Kingdom)

Author keywords

Finite volume methods; Nonoscillatory advection schemes; Unstructured meshes

Indexed keywords

ALGORITHMS; ANISOTROPY; COMPUTER SIMULATION; CONFORMAL MAPPING; DATA STRUCTURES; ERROR ANALYSIS; ERRORS; FINITE VOLUME METHOD; GEOPHYSICS; ITERATIVE METHODS;

ANISOTROPIC FLOWS; FINITE-VOLUME FORMULATION; GEOPHYSICAL FLOWS; NON-OSCILLATORY TRANSPORT METHODS;

FLUID DYNAMICS;

MATHEMATICAL ANALYSIS;

EID: 16244362055     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.848     Document Type: Article

References (12)

1. Smolarkiewicz PK. A simple positive definite advection scheme with small implicit diffusion. Monthly Weather Review 1983; 111:479-486.
2. Smolarkiewicz PK. A fully multidimensional positive definite advection transport algorithm with small implicit diffusion. Journal of Computational Physics 1984; 54:325-362.
3. Smolarkiewicz PK, Prusa JM. Forward-in-time differencing for fluids: simulation of geophysical turbulence. In Turbulent Flow Computation Drikakis D, Guertz BJ (eds). Kluwer Academic Publishers: Dordrecht, 2002; 207-240.
4. Smolarkiewicz PK, Margolin LG. MPDATA: a finite-difference solver for geophysical flows. Journal of Computational Physics 1998; 140:459-480.
5. Domaradzki JA, Xiao Z, Smolarkiewicz PK. Effective eddy viscosities in implicit large eddy simulations of turbulent flows. Physics of Fluids 2003; 15:3890-3893.
6. Margolin LG, Rider WJ. A rationale for implicit turbulence modeling. International Journal for Numerical Methods in Fluids 2002; 39:821-841.
7. Margolin LG, Smolarkiewicz PK, Wyszogrodzki AA. Implicit turbulence modeling for high Reynolds number flows. Journal of Fluids Engineering 2002; 124:862-867.
8. Domaradzki JA, Adams NA. Direct modelling of subgrid scales of turbulence in large eddy simulation. Journal of Turbulence 2002; 3:1-19.
9. Bacon DP et al. A dynamically adapting weather and dispersion model: the operational environment model with grid adaptivity (OMEGA). Monthly Weather Review 2000; 128:2044-2076.
10. Mavriplis DJ. Three dimensional unstructured multigrid for the Euler equations. AIAA Journal 1992; 30(7):1753-1761.
11. Szmelter J, Smolarkiewicz PK. A low-implicit-diffusion flow solver for unstructured meshes. AIAA 2005-0321 Paper.
12. Barth TJ. Aspects of unstructured grids and finite volume solvers for the Euler and Navier-Stokes equations. Special Course on Unstructured Grid Methods for Advection Dominated Flows, AGARD. Report 787, 1992; 6.1-6.61.