메뉴 건너뛰기




Volumn 138, Issue 2, 2012, Pages 216-222

Influence of total-variation-diminishing slope limiting on local discontinuous galerkin solutions of the shallow water equations

Author keywords

Comparative study; Discontinuous Galerkin; Godunov type scheme; Slope limiting concerns; Wet dry front tracking

Indexed keywords

EQUATIONS OF MOTION; RESPONSE TIME (COMPUTER SYSTEMS); RUNGE KUTTA METHODS; STABILITY; GALERKIN METHODS;

EID: 84878523111     PISSN: 07339429     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)HY.1943-7900.0000494     Document Type: Article
Times cited : (10)

References (20)
  • 1
    • 46549087718 scopus 로고    scopus 로고
    • A weighted surface-depth gradient method for the numerical integration of the 2D shallow water equations with topography
    • AWREDI, 0309-1708, 10.1016/j.advwatres.2008.03.005.
    • Aureli F. Maranzoni A. Mignosa P. Ziveri C. weighted surface-depth gradient method for the numerical integration of the 2D shallow water equations with topography. Adv. Water Resour. 2008, 31(7):962-974. AWREDI, 0309-1708, 10.1016/j.advwatres.2008.03.005.
    • (2008) Adv. Water Resour. , vol.31 , Issue.7 , pp. 962-974
    • Aureli, F.1    Maranzoni, A.2    Mignosa, P.3    Ziveri, C.4
  • 2
    • 35448947161 scopus 로고    scopus 로고
    • Simulation of the St. Francis dam-break flood
    • JMCEA3, 0044-7951, 10.1061/(ASCE)0733-9399(2007)133:11(1200).
    • Begnudelli L. Sanders B.F. Simulation of the St. Francis dam-break flood. J. Eng. Mech. 2007, 133(11):1200-1212. JMCEA3, 0044-7951, 10.1061/(ASCE)0733-9399(2007)133:11(1200).
    • (2007) J. Eng. Mech. , vol.133 , Issue.11 , pp. 1200-1212
    • Begnudelli, L.1    Sanders, B.F.2
  • 3
    • 17444431952 scopus 로고    scopus 로고
    • Flooding and drying in discontinuous Galerkin finite element method for shallow water flows
    • JSCOEB, 0885-7474, 10.1007/s10915-004-4136-6.
    • Bokhove O. Flooding and drying in discontinuous Galerkin finite element method for shallow water flows. J. Sci. Comput. 2005, 22-23(1):47-82. JSCOEB, 0885-7474, 10.1007/s10915-004-4136-6.
    • (2005) J. Sci. Comput. , vol.22-23 , Issue.1 , pp. 47-82
    • Bokhove, O.1
  • 4
    • 0036501603 scopus 로고    scopus 로고
    • Finite volume model for shallow water flooding of arbitrary topography
    • JHEND8, 0733-9429, 10.1061/(ASCE)0733-9429(2002)128:3(289).
    • Bradford S.F. Sanders B.F. Finite volume model for shallow water flooding of arbitrary topography. J. Hydraul. Eng. 2002, 128(3):289-298. JHEND8, 0733-9429, 10.1061/(ASCE)0733-9429(2002)128:3(289).
    • (2002) J. Hydraul. Eng. , vol.128 , Issue.3 , pp. 289-298
    • Bradford, S.F.1    Sanders, B.F.2
  • 5
    • 3843115771 scopus 로고    scopus 로고
    • Zero mass error using unsteady wetting-drying conditions in shallow flows over dry irregular topography
    • IJNFDW, 0271-2091, 10.1002/fld.729.
    • Brufau P. García-Navarro P. Vázquez-Cendón M.E. Zero mass error using unsteady wetting-drying conditions in shallow flows over dry irregular topography. Int. J. Numer. Method Fluids 2004, 45(10):1047-1082. IJNFDW, 0271-2091, 10.1002/fld.729.
    • (2004) Int. J. Numer. Method Fluids , vol.45 , Issue.10 , pp. 1047-1082
    • Brufau, P.1    García-Navarro, P.2    Vázquez-Cendón, M.E.3
  • 6
    • 61849156279 scopus 로고    scopus 로고
    • A wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations
    • CMMECC, 0045-7825, 10.1016/j.cma.2009.01.008.
    • Bunya S. Kubatko E.J. Westerink J.J. Dawson C. wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations. Comput. Meth. Appl. Mech. Eng. 2009, 198(17-20):1548-1562. CMMECC, 0045-7825, 10.1016/j.cma.2009.01.008.
    • (2009) Comput. Meth. Appl. Mech. Eng. , vol.198 , Issue.17-20 , pp. 1548-1562
    • Bunya, S.1    Kubatko, E.J.2    Westerink, J.J.3    Dawson, C.4
  • 7
    • 85174221297 scopus 로고    scopus 로고
    • Discontinuous Galerkin methods
    • ZAMMAX, 0044-2267, 10.1002/zamm.200310088.
    • Cockburn B. Discontinuous Galerkin methods. Z. Angew. Math. Mech. 2003, 83(11):731-754. ZAMMAX, 0044-2267, 10.1002/zamm.200310088.
    • (2003) Z. Angew. Math. Mech. , vol.83 , Issue.11 , pp. 731-754
    • Cockburn, B.1
  • 8
    • 50249144099 scopus 로고    scopus 로고
    • A well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying
    • IJNFDW, 0271-2091, 10.1002/fld.1674.
    • Ern A. Piperno S. Djadel K. well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying. Int. J. Numer. Method Fluids 2008, 58(1):1-25. IJNFDW, 0271-2091, 10.1002/fld.1674.
    • (2008) Int. J. Numer. Method Fluids , vol.58 , Issue.1 , pp. 1-25
    • Ern, A.1    Piperno, S.2    Djadel, K.3
  • 9
    • 77956338382 scopus 로고    scopus 로고
    • Well-balanced RKDG2 solutions to the shallow water equations over irregular domains with wetting and drying
    • CPFLBI, 0045-7930, 10.1016/j.compfluid.2010.07.008.
    • Kesserwani G. Liang Q. Well-balanced RKDG2 solutions to the shallow water equations over irregular domains with wetting and drying. Comput. Fluids 2010, 39(10):2040-2050. CPFLBI, 0045-7930, 10.1016/j.compfluid.2010.07.008.
    • (2010) Comput. Fluids , vol.39 , Issue.10 , pp. 2040-2050
    • Kesserwani, G.1    Liang, Q.2
  • 10
    • 77950207731 scopus 로고    scopus 로고
    • Well-balancing issues related to the RKDG2 scheme for the shallow water equations
    • IJNFDW, 0271-2091, 10.1002/fld.2027.
    • Kesserwani G. Liang Q. Mosé R. Vazquez J. Well-balancing issues related to the RKDG2 scheme for the shallow water equations. Int. J. Numer. Method Fluids 2010, 62(4):428-448. IJNFDW, 0271-2091, 10.1002/fld.2027.
    • (2010) Int. J. Numer. Method Fluids , vol.62 , Issue.4 , pp. 428-448
    • Kesserwani, G.1    Liang, Q.2    Mosé, R.3    Vazquez, J.4
  • 11
    • 1042281121 scopus 로고    scopus 로고
    • Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws
    • ANMAEL, 0168-9274, 10.1016/j.apnum.2003.11.002.
    • Krivodonova L. Xin J. Remacle J.F. Chevaugeon N. Flaherty J.E. Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws. Appl. Numer. Math. 2004, 48(3-4):323-338. ANMAEL, 0168-9274, 10.1016/j.apnum.2003.11.002.
    • (2004) Appl. Numer. Math. , vol.48 , Issue.3-4 , pp. 323-338
    • Krivodonova, L.1    Xin, J.2    Remacle, J.F.3    Chevaugeon, N.4    Flaherty, J.E.5
  • 12
    • 77956341280 scopus 로고    scopus 로고
    • Flood simulation using a well-balanced shallow flow model
    • JHEND8, 0733-9429, 10.1061/(ASCE)HY.1943-7900.0000219.
    • Liang Q. Flood simulation using well-balanced shallow flow model. J. Hydraul. Eng. 2010, 136(9):669-675. JHEND8, 0733-9429, 10.1061/(ASCE)HY.1943-7900.0000219.
    • (2010) J. Hydraul. Eng. , vol.136 , Issue.9 , pp. 669-675
    • Liang, Q.1
  • 13
    • 67349101335 scopus 로고    scopus 로고
    • Numerical resolution of well-balanced shallow water equations with complex source terms
    • AWREDI, 0309-1708, 10.1016/j.advwatres.2009.02.010.
    • Liang Q. Marche F. Numerical resolution of well-balanced shallow water equations with complex source terms. Adv. Water Resour. 2009, 32(6):873-884. AWREDI, 0309-1708, 10.1016/j.advwatres.2009.02.010.
    • (2009) Adv. Water Resour. , vol.32 , Issue.6 , pp. 873-884
    • Liang, Q.1    Marche, F.2
  • 14
    • 0031231601 scopus 로고    scopus 로고
    • Numerical simulation of transcritical flow in open Channels
    • JHEND8, 0733-9429, 10.1061/(ASCE)0733-9429(1997)123:9(774).
    • Meselhe E.A. Sotiropoulos F. Holly F.M. Numerical simulation of transcritical flow in open Channels. J. Hydraul. Eng. 1997, 123(9):774-783. JHEND8, 0733-9429, 10.1061/(ASCE)0733-9429(1997)123:9(774).
    • (1997) J. Hydraul. Eng. , vol.123 , Issue.9 , pp. 774-783
    • Meselhe, E.A.1    Sotiropoulos, F.2    Holly, F.M.3
  • 15
    • 33646565327 scopus 로고    scopus 로고
    • A comparison of troubled-cell indicators for Runge-Kutta discontinuous Galerkin methods using weighted essentially nonoscillatory limiters
    • SJOCE3, 1064-8275, 10.1137/04061372X.
    • Qiu J. Shu C.-W. comparison of troubled-cell indicators for Runge-Kutta discontinuous Galerkin methods using weighted essentially nonoscillatory limiters. SIAM J. Sci. Comput. 2005, 27(3):995-1013. SJOCE3, 1064-8275, 10.1137/04061372X.
    • (2005) SIAM J. Sci. Comput. , vol.27 , Issue.3 , pp. 995-1013
    • Qiu, J.1    Shu, C.-W.2
  • 16
    • 31144454791 scopus 로고    scopus 로고
    • Impact of limiters on accuracy of high-resolution flow and transport models
    • JMCEA3, 0044-7951, 10.1061/(ASCE)0733-9399(2006)132:1(87).
    • Sanders B.F. Bradford S.F. Impact of limiters on accuracy of high-resolution flow and transport models. J. Eng. Mech. 2006, 132(1):87-98. JMCEA3, 0044-7951, 10.1061/(ASCE)0733-9399(2006)132:1(87).
    • (2006) J. Eng. Mech. , vol.132 , Issue.1 , pp. 87-98
    • Sanders, B.F.1    Bradford, S.F.2
  • 18
    • 37449028402 scopus 로고    scopus 로고
    • Godunov-type methods for free-surface shallow flows: A review
    • 0022-1686, 10.1080/00221686.2007.9521812.
    • Toro E.F. García-Navarro P. Godunov-type methods for free-surface shallow flows: review. J. Hydraul. Res. 2007, 45(6):736-751. 0022-1686, 10.1080/00221686.2007.9521812.
    • (2007) J. Hydraul. Res. , vol.45 , Issue.6 , pp. 736-751
    • Toro, E.F.1    García-Navarro, P.2
  • 19
    • 78649632959 scopus 로고    scopus 로고
    • Positivity-preserving high-order well-balanced discontinuous Galerkin methods for the shallow water equations
    • AWREDI, 0309-1708, 10.1016/j.advwatres.2010.08.005.
    • Xing Y. Zhang X. Shu C.-W. Positivity-preserving high-order well-balanced discontinuous Galerkin methods for the shallow water equations. Adv. Water Resour. 2010, 33(12):1476-1493. AWREDI, 0309-1708, 10.1016/j.advwatres.2010.08.005.
    • (2010) Adv. Water Resour. , vol.33 , Issue.12 , pp. 1476-1493
    • Xing, Y.1    Zhang, X.2    Shu, C.-W.3
  • 20
    • 78649529700 scopus 로고    scopus 로고
    • A parameter-free generalized moment limiter for high-order methods on unstructured grids
    • 2070-0733, 10.4208/aamm.09-m0913.
    • Yang M. Wang Z.J. parameter-free generalized moment limiter for high-order methods on unstructured grids. Adv. Appl. Math. Mech. 2009, 1(4):451-480. 2070-0733, 10.4208/aamm.09-m0913.
    • (2009) Adv. Appl. Math. Mech. , vol.1 , Issue.4 , pp. 451-480
    • Yang, M.1    Wang, Z.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.