Meshfree method for the navier-stokes equations = 자유격자법을 이용한 나비어-스톡스 방정식의 수치해석

Numerical solutions of fluid dynamics problems by meshfree method are considered. Among various versions of meshfree method, the moving least squre reproducing kernel method or briefly speaking MLSRK method is employed for the space approximation. Objective governing equations for fluid problems include stationary incompressible Stokes and Navier-Stokes equations, non-stationary incompressible Stokes and Navier-Stokes equations, and non-stationary compressible Euler equations. For each governing equations, the existence of approximated solution and convergence analysis are considered. Each chapter is concluded with numerical examples using meshfree method. for the convergence analysis, basic projection error analysis is systematically studied. Theoretical study for stationary conservation law is contained in the last chapter. Main results include existence of solutions under critical integrability conditions.
Advisors
Choe, Hi-Junresearcher최희준researcher
Publisher
한국과학기술원
Issue Date
2001
Identifier
166364/325007 / 000975807
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 응용수학전공, 2001.2, [ [iii], 125 p. ]

Keywords

수치해석; convergence analysis; 수렴성; Euler Equations; Navier-Stokes Equations; 자유격자법; Meshfree Method; Transport Equations; 나비어-스톡스 방정식

URI
http://hdl.handle.net/10203/41832
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=166364&flag=t
Appears in Collection
MA-Theses_Ph.D.(박사논문)
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