메뉴 건너뛰기




Volumn 28, Issue 3, 2005, Pages 215-233

A parallel multi-subdomain strategy for solving Boussinesq water wave equations

Author keywords

Additive Schwarz iterations; Domain decomposition; Parallel computing; Wave equations

Indexed keywords

COMPUTER SIMULATION; COMPUTER SOFTWARE; MATHEMATICAL MODELS; PROBLEM SOLVING; STRATEGIC PLANNING;

EID: 13844253953     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2004.11.004     Document Type: Article
Times cited : (15)

References (46)
  • 1
    • 0018107498 scopus 로고
    • On the numerical modelling of short waves in shallow water
    • M.B. Abott H.M. Petersen O. Skovgaard On the numerical modelling of short waves in shallow water J. Hyd. Res. 16 3 1978 173-203
    • (1978) J. Hyd. Res. , vol.16 , Issue.3 , pp. 173-203
    • Abott, M.B.1    Petersen, H.M.2    Skovgaard, O.3
  • 2
    • 0000261543 scopus 로고    scopus 로고
    • A domain decomposition method for the acoustic wave equation with discontinuous coefficients and grid change
    • A. Bamberger R. Glowinski Q.H. Tran A domain decomposition method for the acoustic wave equation with discontinuous coefficients and grid change SIAM J Numer Anal 34 2 1997 603-639
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.2 , pp. 603-639
    • Bamberger, A.1    Glowinski, R.2    Tran, Q.H.3
  • 3
    • 0031234450 scopus 로고    scopus 로고
    • A domain decomposition method for the Helmholtz equation and related optimal control problems
    • J.D. Benamou B. Després A domain decomposition method for the Helmholtz equation and related optimal control problems J. Comp. Phys 136 1997 68-82
    • (1997) J. Comp. Phys. , vol.136 , pp. 68-82
    • Benamou, J.D.1    Després, B.2
  • 6
    • 13844258648 scopus 로고    scopus 로고
    • Report on the investigation of the man overboard fatality from the angling boat Purdy at Shipwash Bank off Harwich on 17 July 1999
    • Marine Accident Investigation Branch Technical Report 17/2000, Marine Accident Investigation Branch, Carlton House, Carlton Place, Southampton, SO15 2DZ
    • Marine Accident Investigation Branch. Report on the investigation of the man overboard fatality from the angling boat Purdy at Shipwash Bank off Harwich on 17 July 1999. Technical Report 17/2000, Marine Accident Investigation Branch, Carlton House, Carlton Place, Southampton, SO15 2DZ, 2000
    • (2000)
  • 7
    • 0003541860 scopus 로고
    • A survey of preconditioned iterative methods
    • London: Longman Scientific & Technical
    • Bruaset AM. A survey of preconditioned iterative methods. In: Pitman Res Notes, Math Ser 328; 1995. London: Longman Scientific & Technical
    • (1995) Pitman Res. Notes Math Ser. 328
    • Bruaset, A.M.1
  • 8
    • 84957685075 scopus 로고    scopus 로고
    • Numerical solution of PDEs on parallel computers utilizing sequential simulators
    • Y. Ishikawa R.R. Oldehoeft J.V.W. Reynders M. Tholburn editors. Scientific computing in object-oriented parallel environments Springer Berlin
    • A.M. Bruaset X. Cai H.P. Langtangen A. Tveito Numerical solution of PDEs on parallel computers utilizing sequential simulators In: Y. Ishikawa R.R. Oldehoeft J.V.W. Reynders M. Tholburn editors. Scientific computing in object-oriented parallel environments Lect Notes Comput Sci 1997 Springer Berlin 161-168
    • (1997) Lect. Notes Comput. Sci. , pp. 161-168
    • Bruaset, A.M.1    Cai, X.2    Langtangen, H.P.3    Tveito, A.4
  • 10
    • 84929536154 scopus 로고    scopus 로고
    • Parallel computing
    • Langtangen HP, Tveito A, editors Berlin: Springer. Advanced topics in computational partial differential equations-numerical methods and Diffpack programming
    • Cai X, Acklam E, Langtangen HP, Tveito A. Parallel computing. In: Langtangen HP, Tveito A, editors. Advanced topics in computational partial differential equations-numerical methods and Diffpack programming, Lect Notes Computat Sci Eng.; 2003. Berlin: Springer. p. 1-55
    • (2003) Lect. Notes Computat. Sci. Eng. , pp. 1-55
    • Cai, X.1    Acklam, E.2    Langtangen, H.P.3    Tveito, A.4
  • 11
    • 13844301173 scopus 로고    scopus 로고
    • Developing parallel object-oriented simulation codes in Diffpack
    • H.A. Mang, F.G. Rammerstorfer, and J. Eberhardsteiner, editors
    • Cai X Langtangen HP. Developing parallel object-oriented simulation codes in Diffpack In H.A. Mang, F.G. Rammerstorfer, and J. Eberhardsteiner, editors, Proceedings of the Fifth World Congress on Computational Mechanics, 2002. http://wccm.tuwien.ac.at
    • (2002) Proceedings of the Fifth World Congress on Computational Mechanics
    • Cai, X.1    Langtangen, H.P.2
  • 12
    • 84974325009 scopus 로고
    • Domain decomposition algorithms
    • Cambridge University Press
    • T.F. Chan T.P. Mathew Domain decomposition algorithms Acta Numerica 1994 Cambridge University Press 64-143
    • (1994) Acta Numerica , pp. 64-143
    • Chan, T.F.1    Mathew, T.P.2
  • 13
    • 0029104133 scopus 로고
    • A slender ship moving at a near-critical speed in a shallow channel
    • X. Chen S. Sharma A slender ship moving at a near-critical speed in a shallow channel J Fluid Mech 291 1995 263-285
    • (1995) J. Fluid Mech. , vol.291 , pp. 263-285
    • Chen, X.1    Sharma, S.2
  • 14
    • 0001303099 scopus 로고
    • Nonlinear free surface waves due to a ship moving near the critical speed in shallow water
    • Washington, DC
    • Choi H Bai K, Cho J. Nonlinear free surface waves due to a ship moving near the critical speed in shallow water. In Proceedings of 18th Symposium of Naval Hydrodynamics, Washington, DC; 1991. p. 173-90
    • (1991) Proceedings of 18th Symposium of Naval Hydrodynamics , pp. 173-190
    • Choi, H.1    Bai, K.2    Cho, J.3
  • 15
    • 0034646784 scopus 로고    scopus 로고
    • Domain decomposition methods for harmonic wave propagation: A general presentation
    • F. Collino S. Ghanemi P. Joly Domain decomposition methods for harmonic wave propagation: A general presentation Comput Methods Appl Mech Eng 184 2-4 2000 171-211
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.184 , Issue.2-4 , pp. 171-211
    • Collino, F.1    Ghanemi, S.2    Joly, P.3
  • 16
    • 0002902041 scopus 로고    scopus 로고
    • A wave equation approach to the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations
    • J.A. De Santo editor SIAM Philadelphia
    • E.J. Dean R. Glowinski T.-W. Pan A wave equation approach to the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations J.A. De Santo editor Mathematical and numerical aspects of wave propagation 1998 SIAM Philadelphia, PA 65-74
    • (1998) Mathematical and Numerical Aspects of Wave Propagation , pp. 65-74
    • Dean, E.J.1    Glowinski, R.2    Pan, T.-W.3
  • 18
    • 13844258647 scopus 로고    scopus 로고
    • Diffpack Home Page. Available from:
    • Diffpack Home Page. Available from: http://www.diffpack.com
  • 19
    • 0035976676 scopus 로고    scopus 로고
    • A domain decomposition approach to finite volume solutions of the Euler equations on unstructured triangular meshes
    • V. Dolean S. Lanteri A domain decomposition approach to finite volume solutions of the Euler equations on unstructured triangular meshes Int. J. Numer Methods Fluids 37 6 2001 625-656
    • (2001) Int. J. Numer. Methods Fluids , vol.37 , Issue.6 , pp. 625-656
    • Dolean, V.1    Lanteri, S.2
  • 20
    • 0022525567 scopus 로고
    • Waves caused by a moving disturbance in a shallow channel of finite width
    • R.C. Ertekin W.C. Webster J.V. Wehausen Waves caused by a moving disturbance in a shallow channel of finite width J Fluid Mech 169 1986 275-292
    • (1986) J. Fluid Mech. , vol.169 , pp. 275-292
    • Ertekin, R.C.1    Webster, W.C.2    Wehausen, J.V.3
  • 21
    • 0032389128 scopus 로고    scopus 로고
    • Analysis of a domain decomposition method for the nearly elastic wave equations based on mixed finite element methods
    • X. Feng Analysis of a domain decomposition method for the nearly elastic wave equations based on mixed finite element methods IMA J Numer Anal 18 2 1998 229-250
    • (1998) IMA J. Numer. Anal. , vol.18 , Issue.2 , pp. 229-250
    • Feng, X.1
  • 22
    • 8144231096 scopus 로고    scopus 로고
    • An investigation of domain decomposition methods for one-dimensional dispersive long wave equations
    • S. Glimsdal G.K. Pedersen H.P. Langtangen An investigation of domain decomposition methods for one-dimensional dispersive long wave equations Adv Water Res 27 2004 1111-1133
    • (2004) Adv. Water Res. , vol.27 , pp. 1111-1133
    • Glimsdal, S.1    Pedersen, G.K.2    Langtangen, H.P.3
  • 24
    • 0002740150 scopus 로고    scopus 로고
    • Solitary killers
    • August
    • Hamer M. Solitary killers. New Scientist August 1999;18-19
    • (1999) New Scientist , pp. 18-19
    • Hamer, M.1
  • 25
    • 0242583099 scopus 로고    scopus 로고
    • Boundary-element analysis of 3D diffusion problems using a parallel domain decomposition method
    • M.S. Ingber C.C. Schmidt J.A. Tanski J. Phillips Boundary-element analysis of 3D diffusion problems using a parallel domain decomposition method Numer. Heat Transfer, Pt B 44 2 2003 145-164
    • (2003) Numer. Heat Transfer , vol.44 , Issue.2 PART B , pp. 145-164
    • Ingber, M.S.1    Schmidt, C.C.2    Tanski, J.A.3    Phillips, J.4
  • 26
    • 0003692957 scopus 로고
    • Metis: Unstructured graph partitioning and sparse matrix ordering system
    • Technical report, Department of Computer Science, University of Minnesota, Minneapolis/St. Paul, MN
    • Karypis G, Kumar V. Metis: Unstructured graph partitioning and sparse matrix ordering system. Technical report, Department of Computer Science, University of Minnesota, Minneapolis/St. Paul, MN, 1995
    • (1995)
    • Karypis, G.1    Kumar, V.2
  • 28
    • 0023147301 scopus 로고
    • On the excitation of long nonlinear water waves by a moving pressure distribution. Pt. 2. Three-dimensional effects
    • C. Katsis T.R. Akylas On the excitation of long nonlinear water waves by a moving pressure distribution. Pt. 2. Three-dimensional effects J. Fluid Mech. 177 1987 49-65
    • (1987) J. Fluid Mech. , vol.177 , pp. 49-65
    • Katsis, C.1    Akylas, T.R.2
  • 29
    • 84880375785 scopus 로고    scopus 로고
    • Domain decomposition methods in sciences and engineering
    • editors. Proceedings of the 15th International Conference on Domain Decomposition Methods, July 2003, Berlin, Germany Berlin: Springer
    • Kornhuber R, Hoppe R, Périaux J, Pironneau O, Widlund O, Xu J, editors. Domain decomposition methods in sciences and engineering. In: Proceedings of the 15th International Conference on Domain Decomposition Methods, July 2003, Berlin, Germany, Lect Notes Computat Sci Eng, vol. 40; 2004. Berlin: Springer
    • (2004) Lect. Notes Computat. Sci. Eng. , vol.40
    • Kornhuber, R.1    Hoppe, R.2    Périaux, J.3    Pironneau, O.4    Widlund, O.5    Xu, J.6
  • 31
    • 0003538252 scopus 로고    scopus 로고
    • Computational partial differential equations-numerical methods and Diffpack programming
    • 2nd ed. Berlin: Springer
    • Langtangen HP. Computational partial differential equations-numerical methods and Diffpack programming. Texts in computational science and engineering. 2nd ed.; 2003. Berlin: Springer
    • (2003) Texts in Computational Science and Engineering
    • Langtangen, H.P.1
  • 32
    • 13844295498 scopus 로고    scopus 로고
    • A software framework for easy parallelization of PDE solvers
    • C.B. Jensen T. Kvamsdal H.I. Andersson B. Pettersen A. Ecer J. Periaux et al. editors. North-Holland Amsterdam
    • H.P. Langtangen X. Cai A software framework for easy parallelization of PDE solvers In: C.B. Jensen T. Kvamsdal H.I. Andersson B. Pettersen A. Ecer J. Periaux et al. editors. Parallel computational fluid dynamics 2001 North-Holland Amsterdam
    • (2001) Parallel Computational Fluid Dynamics
    • Langtangen, H.P.1    Cai, X.2
  • 33
    • 0032560695 scopus 로고    scopus 로고
    • Computational models for weakly dispersive nonlinear water waves
    • H.P. Langtangen G. Pedersen Computational models for weakly dispersive nonlinear water waves Comp. Methods Appl. Mech. Eng. 160 1998 337-358
    • (1998) Comp. Methods Appl. Mech. Eng. , vol.160 , pp. 337-358
    • Langtangen, H.P.1    Pedersen, G.2
  • 34
    • 0037058345 scopus 로고    scopus 로고
    • Three-dimensional nonlinear solitary waves in shallow water generated by an advancing disturbance
    • Y. Li P.D. Sclavounos Three-dimensional nonlinear solitary waves in shallow water generated by an advancing disturbance J Fluid Mech 470 2002 383-410
    • (2002) J. Fluid Mech. , vol.470 , pp. 383-410
    • Li, Y.1    Sclavounos, P.D.2
  • 36
    • 0023795683 scopus 로고
    • Three-dimensional wave patterns generated by moving disturbances at transcritical speeds
    • G. Pedersen Three-dimensional wave patterns generated by moving disturbances at transcritical speeds J. Fluid Mech. 196 1988 39-63
    • (1988) J. Fluid Mech. , vol.196 , pp. 39-63
    • Pedersen, G.1
  • 37
    • 0026223380 scopus 로고
    • Finite difference representations of nonlinear waves
    • G. Pedersen Finite difference representations of nonlinear waves Int J Numer Methods Fluids 13 1991 671-690
    • (1991) Int. J. Numer. Methods Fluids , vol.13 , pp. 671-690
    • Pedersen, G.1
  • 38
    • 0028431171 scopus 로고
    • Nonlinear modulations of solitary waves
    • G. Pedersen Nonlinear modulations of solitary waves J. Fluid Mech. 267 1994 83-108
    • (1994) J. Fluid Mech. , vol.267 , pp. 83-108
    • Pedersen, G.1
  • 40
    • 0001063554 scopus 로고
    • Long waves on a beach
    • D.H. Peregrine Long waves on a beach J. Fluid Mech. 77 1967 417-431
    • (1967) J. Fluid Mech. , vol.77 , pp. 417-431
    • Peregrine, D.H.1
  • 41
    • 0024165779 scopus 로고
    • Nonlinear refraction-diffraction of surface waves in intermediate and shallow water
    • O.B. Rygg Nonlinear refraction-diffraction of surface waves in intermediate and shallow water Coast Eng 12 1988 191-211
    • (1988) Coast. Eng. , vol.12 , pp. 191-211
    • Rygg, O.B.1
  • 42
    • 0003419897 scopus 로고    scopus 로고
    • Domain decomposition: Parallel multilevel methods for elliptic partial differential equations
    • Cambridge University Press
    • B.F. Smith P.E. Bjørstad W. Gropp Domain decomposition: Parallel multilevel methods for elliptic partial differential equations 1996 Cambridge University Press
    • (1996)
    • Smith, B.F.1    Bjørstad, P.E.2    Gropp, W.3
  • 43
    • 0004181419 scopus 로고
    • Linear and nonlinear waves. Pure and applied mathematics
    • New York: John Wiley Sons
    • G.B. Whitham Linear and nonlinear waves Pure and applied mathematics 1974 John Wiley Sons New York
    • (1974)
    • Whitham, G.B.1
  • 44
    • 1642562625 scopus 로고    scopus 로고
    • Finite element model for modified Boussinesq equations. I: Model development
    • J.-K. Woo P.L.-F. Liu Finite element model for modified Boussinesq equations. I: Model development J. Waterways Port, Coastal, Ocean Eng. 130 1 2004 1-16
    • (2004) J. Waterways Port, Coastal, Ocean Eng. , vol.130 , Issue.1 , pp. 1-16
    • Woo, J.-K.1    Liu, P.L.-F.2
  • 46
    • 0025158795 scopus 로고
    • A Lagrangian model for wave-induced harbour oscillations
    • J.A. Zelt F. Raichlen A Lagrangian model for wave-induced harbour oscillations J Fluid Mech 213 1990 203-225
    • (1990) J. Fluid Mech. , vol.213 , pp. 203-225
    • Zelt, J.A.1    Raichlen, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.