Title :
High-resolution Relaxed Scheme for Dam-break Problems
Author :
Hu, Yan-Mei ; Chen, Jian-Zhong
Author_Institution :
Coll. of Sci., Chang´´an Univ., Xi´´an, China
Abstract :
Numerical models are an important tool to simulate dam-break flows. A high-resolution relaxed scheme is proposed for simulating one-dimensional dam-break problems. The scheme is based on combining relaxation approximation with an improved fifth-order weighted essentially nonoscillatory (WENO) reconstruction and third-order strong stability preserving (SSP) Runge-Kutta scheme. The new method enjoy the main advantage of the relaxation schemes, namely it avoid Riemann solvers, characteristic decomposition and the computation of Jacobians. The numerical experiments demonstrate the efficiency of our method.
Keywords :
Runge-Kutta methods; dams; failure analysis; geotechnical engineering; structural engineering; WENO reconstruction; dam break problems; fifth-order weighted essentially nonoscillatory reconstruction; high-resolution relaxed scheme; third-order SSP Runge-Kutta scheme; Automation; Computational modeling; Educational institutions; Equations; Floods; Humans; Jacobian matrices; Magnetohydrodynamics; Stability; Water conservation; WENO reconstruction; dam-break problems; relaxed scheme; shallow water equations;
Conference_Titel :
Information and Computing (ICIC), 2010 Third International Conference on
Conference_Location :
Wuxi, Jiang Su
Print_ISBN :
978-1-4244-7081-5
Electronic_ISBN :
978-1-4244-7082-2
DOI :
10.1109/ICIC.2010.90
