메뉴 건너뛰기




Volumn 46, Issue 1, 2011, Pages 180-185

A Monge-Ampère enhancement for semi-Lagrangian methods

Author keywords

Incompressible turbulent flows; Monge Amp re equations; Non linear elliptic equations; Semi Lagrangian approximations

Indexed keywords

CELLULAR FLOW; EULER EXPANSION; INCOMPRESSIBLE TURBULENT FLOW; LAGRANGIAN; MASS CONTINUITY EQUATION; NON-LINEAR ELLIPTIC EQUATION; PASSIVE TRACER ADVECTION; ROUND-OFF ERRORS; SECOND-ORDER PARTIAL DIFFERENTIAL EQUATION; SEMI-LAGRANGIAN; SEMI-LAGRANGIAN METHODS;

EID: 79954917207     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2011.01.029     Document Type: Article
Times cited : (8)

References (22)
  • 1
    • 84990623199 scopus 로고
    • Polar factorization and monotone rearrangement of vector-valued functions
    • Brenier Y. Polar factorization and monotone rearrangement of vector-valued functions. Comm Pure Appl Math 1991, 44:345-417.
    • (1991) Comm Pure Appl Math , vol.44 , pp. 345-417
    • Brenier, Y.1
  • 3
    • 0026112879 scopus 로고
    • Generalised Lagrangian solutions for atmospheric and oceanic flows
    • Cullen M.J.P., Norbury J., Purser R.J. Generalised Lagrangian solutions for atmospheric and oceanic flows. SIAM J Appl Math 1991, 51:20-31.
    • (1991) SIAM J Appl Math , vol.51 , pp. 20-31
    • Cullen, M.J.P.1    Norbury, J.2    Purser, R.J.3
  • 5
    • 53349146583 scopus 로고    scopus 로고
    • An optimal robust equidistribution method for two-dimensional adaptation based on Monge-Kantorovich optimization
    • Delzanno G.I., Chacón L., Finn J.M., Chung Y., Lapenta G. An optimal robust equidistribution method for two-dimensional adaptation based on Monge-Kantorovich optimization. J Comput Phys 2008, 227:9841-9864.
    • (2008) J Comput Phys , vol.227 , pp. 9841-9864
    • Delzanno, G.I.1    Chacón, L.2    Finn, J.M.3    Chung, Y.4    Lapenta, G.5
  • 8
    • 0000504721 scopus 로고    scopus 로고
    • Convergence analysis for a class of high-order semi-Lagrangian advection schemes
    • Falcone M., Ferreti R. Convergence analysis for a class of high-order semi-Lagrangian advection schemes. SIAM J Numer Anal 1998, 35:909-940.
    • (1998) SIAM J Numer Anal , vol.35 , pp. 909-940
    • Falcone, M.1    Ferreti, R.2
  • 10
    • 0348198275 scopus 로고    scopus 로고
    • Jacobian-free Newton-Krylov methods: a survey of approaches and applications
    • Knoll D.A., Keyes D.E. Jacobian-free Newton-Krylov methods: a survey of approaches and applications. J Comput Phys 2004, 193:357-397.
    • (2004) J Comput Phys , vol.193 , pp. 357-397
    • Knoll, D.A.1    Keyes, D.E.2
  • 12
    • 0035618489 scopus 로고    scopus 로고
    • Polar factorization of maps on Riemannian manifolds
    • McCann R.J. Polar factorization of maps on Riemannian manifolds. Geom Funct Anal 2001, 11:589-608.
    • (2001) Geom Funct Anal , vol.11 , pp. 589-608
    • McCann, R.J.1
  • 13
    • 79954848111 scopus 로고
    • Mémoire sur la théorie des déblais et des remblais. Histoire de l'Académie Royale des Sciences de Paris.
    • Monge G, Mémoire sur la théorie des déblais et des remblais. Histoire de l'Académie Royale des Sciences de Paris 1781;666-704.
    • (1781) , pp. 666-704
    • Monge, G.1
  • 15
    • 0027010079 scopus 로고
    • A class of semi-Lagrangian approximations for fluids
    • Smolarkiewicz P.K., Pudykiewicz J.A. A class of semi-Lagrangian approximations for fluids. J Atmos Sci 1992, 49:2082-2096.
    • (1992) J Atmos Sci , vol.49 , pp. 2082-2096
    • Smolarkiewicz, P.K.1    Pudykiewicz, J.A.2
  • 16
    • 0000686029 scopus 로고
    • A class of monotone interpolation schemes
    • Smolarkiewicz P.K., Grell J.A. A class of monotone interpolation schemes. J Comput Phys 1992, 101:431-440.
    • (1992) J Comput Phys , vol.101 , pp. 431-440
    • Smolarkiewicz, P.K.1    Grell, J.A.2
  • 17
    • 33645523038 scopus 로고    scopus 로고
    • Multidimensional positive definite advection algorithm: an overview
    • Smolarkiewicz P.K. Multidimensional positive definite advection algorithm: an overview. Int J Numer Methods Fluids 2005, 50:1123-1144.
    • (2005) Int J Numer Methods Fluids , vol.50 , pp. 1123-1144
    • Smolarkiewicz, P.K.1
  • 18
    • 39549091901 scopus 로고    scopus 로고
    • Aspects of the dynamical core of a nonhydrostatic, deep-atmosphere, unified weather and climate-prediction model
    • Staniforth A., Wood N. Aspects of the dynamical core of a nonhydrostatic, deep-atmosphere, unified weather and climate-prediction model. J Comput Phys 2008, 227:3445-3464.
    • (2008) J Comput Phys , vol.227 , pp. 3445-3464
    • Staniforth, A.1    Wood, N.2
  • 20
    • 0346156219 scopus 로고    scopus 로고
    • Semi-Lagrangian methods for level set equations
    • Strain J. Semi-Lagrangian methods for level set equations. J Comput Phys 1999, 151:498-533.
    • (1999) J Comput Phys , vol.151 , pp. 498-533
    • Strain, J.1
  • 21
    • 0035922242 scopus 로고    scopus 로고
    • A semi-Lagrangian high-order method for Navier-Stokes equations
    • Xiu D.B., Karniadakis G.E. A semi-Lagrangian high-order method for Navier-Stokes equations. J Comput Phys 2001, 172:658-684.
    • (2001) J Comput Phys , vol.172 , pp. 658-684
    • Xiu, D.B.1    Karniadakis, G.E.2
  • 22
    • 77952420856 scopus 로고    scopus 로고
    • The Monge-Ampère equation: various forms and numerical solution
    • Zheligovsky V., Pogdvigina O., Frisch U. The Monge-Ampère equation: various forms and numerical solution. J Comput Phys 2010, 229:5043-5061.
    • (2010) J Comput Phys , vol.229 , pp. 5043-5061
    • Zheligovsky, V.1    Pogdvigina, O.2    Frisch, U.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.