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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2007.11
- 수록면
- 109 - 116 (8page)
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이 논문의 연구 히스토리 (2)
2007
Implementation of Finite Element based Solver of the Time-Dependent Navier-Stokes and Energy Equation using a Sparse Data Structure
Sungwon Shin
한국산업응용수학회 학술대회 논문집
2007.11
학술대회자료
Implementation of Finite Element based Solver of the Time-Dependent Navier-Stokes and Energy Equation using a Sparse Data Structure
Sungwon Shin
한국산업응용수학회 학술대회 논문집
2007.11
학술대회자료
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초록· 키워드
오류제보하기
When we solve Navier Stokes and Energy equations with finite element method, finally we have to solve the linear system Ax = b which A is a large sparse matrix and not a band matrix. So it would need large memory and take long time to compute it if we use a general matrix data structure for a linear system. In this paper I solve the time-dependent incompressible Navier-Stokes and Energy equation with finite element method and the linear system obtained from them using a sparse data structure which is the compressed column format so that I get a solution for each time step within a few seconds.
목차
ABSTRACT
1. Introduction
2. Backward Euler method for the time
3. Discretization
4. Nonlinear Solver
5. Implementation
6.1. Data Structures
6.2. Sparse Matrix Representation
6.3. Subroutines
7. Numerical Result
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2009-410-014680409