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CENTRAL SCHEMES WITH LAX-WENDROFF TYPE TIME DISCRETIZATIONS
- Shin, Suyeon;
- Hwang, Woonjae
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0초록
The semi-discrete central scheme and central upwind scheme use Runge-Kutta (RK) time discretization. We do the Lax-Wendroff (LW) type time discretization for both schemes. We perform numerical experiments for various problems including two dimensional Riemann problems for Burgers' equation and Euler equations. The results show that the LW time discretization is more efficient in CPU time than the RK time discretization while maintaining the same order of accuracy.
키워드
central scheme; Lax-Wendroff type time discretization; HYPERBOLIC CONSERVATION-LAWS; 2-DIMENSIONAL RIEMANN PROBLEM; HAMILTON-JACOBI EQUATIONS; WENO SCHEMES; MEDIA
- 제목
- CENTRAL SCHEMES WITH LAX-WENDROFF TYPE TIME DISCRETIZATIONS
- 저자
- Shin, Suyeon; Hwang, Woonjae
- 발행일
- 2011-07
- 유형
- Article
- 저널명
- 대한수학회보
- 권
- 48
- 호
- 4
- 페이지
- 873 ~ 896