Department News
Fast Solution Methods : How many steps are needed to solve the Euler equations?
Seminar Date
2004-01-25
Author
김성돈
Date
2004-01-25
Views
1308
1. 제 목 : Fast Solution Methods
: How many steps are needed to solve the Euler equations?
2. 연 사 : Prof. Antony Jameson
Department of Aeronautics and Astronautics, Stanford University
3. 일 시 : 2002년 9월 30일 (월) 16:00 - 17:30
4. 장 소 : 서울대 신공학관(301동) 1509호 세미나실
5. 내 용 :
New versions of implicit algorithms are proposed for the efficient solution of the Euler equations of compressible flow. The methods are based on a preconditioned, Lower-Upper(LU) implementation of a nonlinear, symmetric Gauss-Seidel(SGS) algorithm for use as a smoothing algorithm in a multigrid method. The methods have been implemented for flows in quasi-one-dimensional ducts and for two dimensional flows past airfoils on boundary conforming ‘O’-type grids for a variety of Symmetric LImited Positive(SLIP) spatial approximations, including the scalar dissipation and Convective Upwind Split Pressure(CUSP) schemes. The method is demonstrated to be significantly faster than earlier explicit or implicit methods for this class of problems, allowing solution of these problems to the level of truncation error in three to five multigrid cycles.
6. 약력 및 수상 경력 :
1997-Present Thomas V. Jones Professor of Engineering
: Dept. of Aeronautics and Astronautics, Stanford University
1982-1997 James S. McDonnell Distinguished University Professor of Aerospace Engineering
: Mechanical & Aerospace Engineering Dept., Princeton University
1986-1988 Director, Program in Applied and Computational Mathematics
: Princeton University
1980-1982 Professor of Mechanical & Aerospace Engineering
: Mechanical & Aerospace Engineering Dept., Princeton University
1974-1980 Professor of Computer Science
: Courant Institute of Mathematical Sciences, New York University
7. 문 의 : 기계항공공학부 김 종 암 교수 (☏ 880-1915)
: How many steps are needed to solve the Euler equations?
2. 연 사 : Prof. Antony Jameson
Department of Aeronautics and Astronautics, Stanford University
3. 일 시 : 2002년 9월 30일 (월) 16:00 - 17:30
4. 장 소 : 서울대 신공학관(301동) 1509호 세미나실
5. 내 용 :
New versions of implicit algorithms are proposed for the efficient solution of the Euler equations of compressible flow. The methods are based on a preconditioned, Lower-Upper(LU) implementation of a nonlinear, symmetric Gauss-Seidel(SGS) algorithm for use as a smoothing algorithm in a multigrid method. The methods have been implemented for flows in quasi-one-dimensional ducts and for two dimensional flows past airfoils on boundary conforming ‘O’-type grids for a variety of Symmetric LImited Positive(SLIP) spatial approximations, including the scalar dissipation and Convective Upwind Split Pressure(CUSP) schemes. The method is demonstrated to be significantly faster than earlier explicit or implicit methods for this class of problems, allowing solution of these problems to the level of truncation error in three to five multigrid cycles.
6. 약력 및 수상 경력 :
1997-Present Thomas V. Jones Professor of Engineering
: Dept. of Aeronautics and Astronautics, Stanford University
1982-1997 James S. McDonnell Distinguished University Professor of Aerospace Engineering
: Mechanical & Aerospace Engineering Dept., Princeton University
1986-1988 Director, Program in Applied and Computational Mathematics
: Princeton University
1980-1982 Professor of Mechanical & Aerospace Engineering
: Mechanical & Aerospace Engineering Dept., Princeton University
1974-1980 Professor of Computer Science
: Courant Institute of Mathematical Sciences, New York University
7. 문 의 : 기계항공공학부 김 종 암 교수 (☏ 880-1915)