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	Two interface-type numerical methods for computing hyperbolic systems with geometrical source terms having concentrations
	Jin, S ; Wen, X
	2010-05-06 ; 2010-05-06
关键词	shallow water equations bottom topography well-balanced schemes SHALLOW-WATER EQUATIONS WELL-BALANCED SCHEME SCALAR CONSERVATION-LAWS SAINT-VENANT SYSTEM KINETIC SCHEME UPWIND SCHEMES RIEMANN SOLVER Mathematics, Applied
中文摘要	We propose two simple well-balanced methods for hyperbolic systems with geometrical source terms having concentrations. Physical problems under consideration include the shallow water equations with topography and the quasi-one-dimensional isothermal nozzle flows. These two methods use the numerical fluxes already obtained from the corresponding homogeneous systems in the source terms, and one needs only a black-box (approximate) Riemann solver for the homogeneous system. Compared with our previous method developed in [S. Jin and X. Wen, J. Comput. Math., 22 (2004), pp. 230-249], these methods avoid the Newton iterations in the evaluation of the source term. Numerical experiments demonstrate that both methods give good numerical approximations to the subcritical and supercritical flows. With a transonic. x, both methods also capture with a high resolution the transonic flows over the concentration. These methods are applicable to both unsteady and steady state computations.
语种	英语 ; 英语
出版者	SIAM PUBLICATIONS ; PHILADELPHIA ; 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14122]
专题	清华大学
推荐引用方式 GB/T 7714	Jin, S,Wen, X. Two interface-type numerical methods for computing hyperbolic systems with geometrical source terms having concentrations[J],2010, 2010.
APA	Jin, S,&Wen, X.(2010).Two interface-type numerical methods for computing hyperbolic systems with geometrical source terms having concentrations..
MLA	Jin, S,et al."Two interface-type numerical methods for computing hyperbolic systems with geometrical source terms having concentrations".(2010).

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