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Volumn 39, Issue 1, 2001, Pages 261-343

Asymptotic adaptive methods for multi-scale problems in fluid mechanics

Author keywords

Asymptotic analysis; Asymptotics based numerical methods; Fluid mechanics; Singular limit regimes

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; INTEGRATION; MAGNETOHYDRODYNAMICS;

EID: 0035045703     PISSN: 00220833     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004844002437     Document Type: Article
Times cited : (153)

References (69)
  • 5
    • 0023960658 scopus 로고
    • Cummulative effects of weak pressure waves during the induction period of a thermal explosion in a closed cylinder
    • (1988) J. Fluid Mech , vol.187 , pp. 197-230
    • Klein, R.1    Peters, N.2
  • 6
    • 0000578716 scopus 로고
    • Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics I: One-dimensional Flow
    • (1995) J. Comp. Phys , vol.121 , pp. 213-237
    • Klein, R.1
  • 10
  • 13
    • 46149142859 scopus 로고
    • Solution of the implicily discretised fluid flow equations by operator-splitting
    • (1985) J. Comp. Phys , vol.62 , pp. 40-65
    • Issa, R.I.1
  • 14
    • 46549092989 scopus 로고
    • Application of a fractional step method to incompressible Navier-Stokes equations
    • (1985) J. Comp. Phys , vol.59 , pp. 308-323
    • Kim, J.1    Moin, P.2
  • 34
    • 0005500852 scopus 로고
    • Resonant nonlinear geometric optics for weak solutions of conversation laws
    • (1994) J. Diff. Eqs , vol.113 , pp. 106-231
    • Schochet, S.1
  • 40
    • 40449093496 scopus 로고
    • A numerical method for solving incompressible viscous flow problems
    • (1967) J. Comp. Phys , vol.2 , pp. 12-26
    • Chorin, A.J.1
  • 42
    • 34250481480 scopus 로고
    • Sur l'approximation de la solution des equations de Navier-Stokes par la methode des pas fractionaires
    • (1969) Arch. Rat. Mech. Anal , vol.32 , pp. 135-153
    • Temam, R.1
  • 43
    • 84987459282 scopus 로고
    • On the theory of semi-implicit projection methods for viscous incompressible flows and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory
    • (1990) Int. J. Num. Meth. Fluids , vol.11 , pp. 587-620
    • Gresho, P.M.1
  • 44
    • 84987572923 scopus 로고
    • On the theory of semi-implicit projection methods for viscous incompressible flows and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation
    • (1990) Int. J. Num. Meth. Fluids , vol.11 , pp. 621-659
    • Gresho, P.M.1
  • 46
    • 0001785854 scopus 로고
    • Asymptotics for symmetric hyperbolic systems with a large parameter
    • (1988) J. Diff. Eqs , vol.75 , pp. 1-27
    • Schochet, S.1
  • 49
    • 34249988639 scopus 로고
    • Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme
    • (1974) J. Comp. Phys , vol.14 , pp. 361-370
    • van Leer, B.1
  • 50
    • 3142757150 scopus 로고
    • Towards the ultimate conservative difference scheme. III. Upstream-centered finite-difference schemes for ideal compressible flow
    • (1977) J. Comp. Phys , vol.23 , pp. 263-275
    • van Leer, B.1
  • 51
    • 49449129017 scopus 로고
    • Towards the ultimate conservative difference scheme. IV. A new approach to nummerical convection
    • (1977) J. Comp. Phys , vol.23 , pp. 276-299
    • van Leer, B.1
  • 52
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
    • (1979) J. Comp. Phys , vol.32 , pp. 101-136
    • van Leer, B.1
  • 57
    • 84987572923 scopus 로고
    • On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation
    • (1990) Int. J. Num. Meth. Fluids , vol.11 , pp. 621-659
    • Gresho, P.M.1    Chan, S.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.