Artificial Boundary Conditions for Incompressible Viscous Flows
作者： Laurence Halpern , Michelle Schatzman
DOI: 10.1137/0520021
关键词: Cauchy problem 、 Well-posed problem 、 Initial value problem 、 Incompressible flow 、 Boundary value problem 、 Mathematical analysis 、 Cauchy boundary condition 、 Computational fluid dynamics 、 Viscous liquid 、 Mathematics 、 Applied mathematics 、 Analysis 、 Computational mathematics
摘要: Artificial boundary conditions for the linearized incompressible Navier–Stokes equations are designed by approximating symbol of transparent operator. The related initial value problems well posed in same spaces as original Cauchy problem. Furthermore, error estimates small viscosity proved.
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Elias M. Stein, Guido L. Weiss, Introduction to Fourier Analysis on Euclidean Spaces. ,(1971)
Laurence Halpern, Artificial boundary conditions for the linear advection diffusion equation Mathematics of Computation. ,vol. 46, pp. 425- 438 ,(1986) , 10.2307/2007985
G Lebeau, M Schatzman, A wave problem in a half-space with a unilateral constraint at the boundary Journal of Differential Equations. ,vol. 53, pp. 309- 361 ,(1984) , 10.1016/0022-0396(84)90030-5
Bjorn Engquist, Andrew Majda, Absorbing boundary conditions for the numerical simulation of waves Mathematics of Computation. ,vol. 31, pp. 629- 651 ,(1977) , 10.1090/S0025-5718-1977-0436612-4
A. Bamberger, B. Engquist, L. Halpern, P. Joly, Higher order paraxial wave equation approximations in heterogenous media Siam Journal on Applied Mathematics. ,vol. 48, pp. 129- 154 ,(1988) , 10.1137/0148006
Jacques Deny, Jacques-Louis Lions, Les espaces du type de Beppo Levi Annales de l’institut Fourier. ,vol. 5, pp. 305- 370 ,(1954) , 10.5802/AIF.55
E.L. Lindman, “Free-space” boundary conditions for the time dependent wave equation Journal of Computational Physics. ,vol. 18, pp. 66- 78 ,(1975) , 10.1016/0021-9991(75)90102-3
Lars Ferm, Bertil Gustafsson, A down-stream boundary procedure for the euler equations Computers & Fluids. ,vol. 10, pp. 261- 276 ,(1982) , 10.1016/0045-7930(82)90009-3
Alvin Bayliss, Eli Turkel, Radiation boundary conditions for wave-like equations Communications on Pure and Applied Mathematics. ,vol. 33, pp. 707- 725 ,(1980) , 10.1002/CPA.3160330603
Roger Temam, Navier-Stokes Equations: Theory and Numerical Analysis ,(1979)