The multidimensional positive definite advection transport algorithm: nonoscillatory option
作者： Piotr K Smolarkiewicz , Wojciech W Grabowski
DOI: 10.1016/0021-9991(90)90105-A
关键词: Fluid dynamics 、 Formalism (philosophy of mathematics) 、 Numerical tests 、 Mathematical analysis 、 Mathematics 、 Positive-definite matrix 、 Algorithm 、 Advection 、 Continuity equation
摘要: Abstract This paper presents a nonoscillatory option (i.e., free of dispersive ripples) the advection algorithm described previously in J. Comput. Phys. ( 54 (1984), 325; 67 (1986), 396). The approach adopted merges flux-corrected transport methodology with iterative formalism algorithm. Further discussion algorithm's accuracy is included. Theoretical considerations are illustrated through numerical tests and examples applications to atmospheric fluid dynamics problems.
harvard.edu
elsevier.com
sci-hub.se 参考文章(17)
D.L. Book, J.P. Boris, K. Hain, Flux-corrected transport II: Generalizations of the method Journal of Computational Physics. ,vol. 18, pp. 248- 283 ,(1975) , 10.1016/0021-9991(75)90002-9
DOUGLAS K. LILLY, ON THE COMPUTATIONAL STABILITY OF NUMERICAL SOLUTIONS OF TIME-DEPENDENT NON-LINEAR GEOPHYSICAL FLUID DYNAMICS PROBLEMS Monthly Weather Review. ,vol. 93, pp. 11- 25 ,(1965) , 10.1175/1520-0493(1965)093<0011:OTCSON>2.3.CO;2
Piotr K. Smolarkiewicz, The Multi-Dimensional Crowley Advection Scheme Monthly Weather Review. ,vol. 110, pp. 1968- 1983 ,(1982) , 10.1175/1520-0493(1982)110<1968:TMDCAS>2.0.CO;2
Terry L. Clark, R. D. Farley, Severe Downslope Windstorm Calculations in Two and Three Spatial Dimensions Using Anelastic Interactive Grid Nesting: A Possible Mechanism for Gustiness Journal of the Atmospheric Sciences. ,vol. 41, pp. 329- 350 ,(1984) , 10.1175/1520-0469(1984)041<0329:SDWCIT>2.0.CO;2
Piotr K Smolarkiewicz, A Fully Multidimensional Positive Definite Advection Transport Algorithm with Small Implicit Diffusion Journal of Computational Physics. ,vol. 54, pp. 325- 362 ,(1984) , 10.1016/0021-9991(84)90121-9
Piotr K. Smolarkiewicz, A Simple Positive Definite Advection Scheme with Small Implicit Diffusion Monthly Weather Review. ,vol. 111, pp. 479- 486 ,(1983) , 10.1175/1520-0493(1983)111<0479:ASPDAS>2.0.CO;2
Steven T Zalesak, Fully multidimensional flux-corrected transport algorithms for fluids Journal of Computational Physics. ,vol. 31, pp. 335- 362 ,(1979) , 10.1016/0021-9991(79)90051-2
Piotr K Smolarkiewicz, Terry L Clark, The multidimensional positive definite advection transport algorithm: further development and applications Journal of Computational Physics. ,vol. 67, pp. 396- 438 ,(1986) , 10.1016/0021-9991(86)90270-6
Terry L. Clark, A small-scale dynamic model using a terrain-following coordinate transformation Journal of Computational Physics. ,vol. 24, pp. 186- 215 ,(1977) , 10.1016/0021-9991(77)90057-2
J.P Boris, D.L Book, Flux-corrected transport. III. Minimal-error FCT algorithms Journal of Computational Physics. ,vol. 20, pp. 397- 431 ,(1976) , 10.1016/0021-9991(76)90091-7