Parallel computation of a highly nonlinear Boussinesq equation model through domain decomposition

International Journal for Numerical Methods in Fluids

Volumn 49, Issue 1, 2005, Pages 57-74

  Sitanggang, Khairil Irfan ^a   Lynett, Patrick ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

High order scheme; Parallel Boussinesq model; Tridiagonal solver

Indexed keywords

COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; MATRIX ALGEBRA; NONLINEAR EQUATIONS; NUMERICAL METHODS; PARALLEL ALGORITHMS; SURFACE WAVES;

HIGH ORDER SCHEME; PARALLEL BOUSSINESQ MODEL; TRIDIAGONAL SOLVER;

MATHEMATICAL MODELS;

BOUSSINESQ EQUATION; FINITE DIFFERENCE TECHNIQUE; PARALLEL COMPUTING; WAVE SIMULATION;

EID: 23944478217     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.985     Document Type: Article

References (21)

1. Peregrine DH. Long waves on a beach. Journal of Fluid Mechanics 1967; 27(4):815-827.
2. Madsen PA, Sørensen OR. A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 2. A slowly-varying bathymetry. Coastal Engineering 1992; 18:183-204.
3. Nwogu O. Alternative form of Boussinesq equations for nearshore wave propagation. Journal of Waterway, Port, Coastal, and Ocean Engineering 1993; 119(6):618-638.
4. Wei G, Kirby JT, Grilli ST, Subramanya R. A fully nonlinear Boussinesq model for surface waves. Part I. Highly nonlinear unsteady waves. Journal of Fluid Mechanics 1995; 294:71-92.
5. Kennedy AB, Kirby JT, Chen Q, Dalrymple RA. Boussinesq type equations with improved nonlinear behavior. Wave Motion 2001; 33:225-243.
6. Lynett P, Liu PL-F. A numerical study of submarine-landslide-generated waves and run-up. Proceedings of the Royal Society of London A 2002; 458:2885-2910.
7. 4. Journal of Fluid Mechanics 2000; 405:182-210.
8. Madsen PA, Bingham HB, Liu H. A new Boussinesq method for fully nonlinear waves from shallow to deep water. Journal of Fluid Mechanics 2002; 462:1-30.
9. Agnon Y, Madsen PA, Schaffer H. A new approach to high order Boussinesq models. Journal of Fluid Mechanics 1999; 399:319-333.
10. Lynett P, Liu PL-F. A two-layer approach to water wave modeling. Proceedings of the Royal Society of London A 2004a; 460:2637-2669.
11. Lynett P, Liu PL-F. Linear analysis of the multi-layer model. Coastal Engineering 2004b; 51(6):439-454.
12. Snir M, Otto SW, Lederman SH-, Walker DW, Dongarra J. MPI The Complete Reference. The MIT Press Cambridge: Massachussets. © 1996 Massachussets Institute of Technology, 1996.
13. Press HW, Teukolsky SA, Vetterling WT, Flannery BP. Numerical Recipes in Fortran 77 (2nd edn), © 1992 Cambridge University Press: Cambridge, 1992.
14. Hockney RW, Jesshope CR. Parallel Computers: Architecture, Programming and Algorithms, © 1981 Adam Hilger Ltd.: Bristol, 1981.
15. Wang HH. A parallel method for tridiagonal equations. ACM Transactions on Mathematical Software 1981; 7(2):170-183.
16. Krechel A, Plum HJ, Stben K. Solving tridiagonal linear systems in parallel on local memory MMD machines. GMD Technical Report, vol. 372, 1989.
17. Mattor N, Williams TJ, Hewett DW. Algorithm for solving tridiagonal matrix problems in parallel. Parallel Computing 1995; 21:1769-1782.
18. Pacheco PS. Parallel Programming with MPI. © 1997 Morgan Kaufmann Publishers, Inc.: New York, 1997.
19. Vincent CL, Briggs MI. Refraction-diffraction of irregular waves over a mound. Journal of Waterway, Port, Coastal and Ocean Engineering 1989; 115:269-284.
20. Wei G, Kirby JT. A time-dependent numerical code for extended Boussinesq equations. Journal of Waterway, Port, Coastal and Ocean Engineering 1995; 121:251-261.
21. Berkhoff JCW, Booij N, Radder AC. Verification of numerical wave propagation models for simple harmonic linear water waves. Coastal Engineering 1982; 6(3):255-279.