서지주요정보
Meshfree method for the navier-stokes equations = 자유격자법을 이용한 나비어-스톡스 방정식의 수치해석
서명 / 저자 Meshfree method for the navier-stokes equations = 자유격자법을 이용한 나비어-스톡스 방정식의 수치해석 / Yong-Sik Kim.
발행사항 [대전 : 한국과학기술원, 2001].
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등록번호

8012208

소장위치/청구기호

학술문화관(문화관) 보존서고

DMA 01007

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초록정보

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.

서지기타정보

서지기타정보
청구기호 {DMA 01007
형태사항 [iii], 125 p. : 삽도 ; 26 cm
언어 영어
일반주기 저자명의 한글표기 : 김용식
지도교수의 영문표기 : Hi-Jun Choe
지도교수의 한글표기 : 최희준
학위논문 학위논문(박사) - 한국과학기술원 : 응용수학전공,
서지주기 Reference : p. 119-124
주제 Meshfree Method
Navier-Stokes Equations
convergence analysis
Euler Equations
Transport Equations
자유격자법
나비어-스톡스 방정식
수치해석
수렴성
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