WENOCLAW
swMATH ID:  7611 
Software Authors:  Ketcheson, D.I.; LeVeque, R.J. 
Description:  WENOCLAW: A higher order wave propagation method. Many important physical phenomena are governed by hyperbolic systems of conservation laws 𝐪 t +f(𝐪) x =0,(1) for which a wide range of numerical methods have been developed. In this paper we present a numerical method for solution of (1) that is also applicable to general hyperbolic systems of the form 𝐪 t +A(𝐪,x,t)𝐪 x =0·(2) In the nonlinear nonconservative case, the method may be applied if the structure of the Riemann solution is understood. Examples of (1–2) include acoustics and elasticity in heterogeneous media. The method described in this work combines the notions of wave propagation and the method of lines, and can in principle be extended to arbitrarily high order accuracy by the use of high order accurate spatial reconstruction and a high order accurate ordinary differential equation solver. In this work, we use RungeKutta methods. 
Homepage:  http://faculty.washington.edu/rjl/pubs/hyp06weno/hyp06weno.pdf 
Keywords:  hyperbolic systems of conservation laws; wave propagation; method of lines; RungeKutta methods 
Related Software:  SharpClaw; CLAWPACK; Pyclaw; HLLE; PyWENO; SLIC; ReALE; HEE1GODF; Python; FiPy; PETSc; Matlab 
Referenced in:  10 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

WENOCLAW: A higher order wave propagation method. Zbl 1138.65084 Ketcheson, D. I.; LeVeque, R. J. 
2008

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Referenced by 23 Authors
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top 5
Referenced in 7 Serials
Referenced in 5 Fields
6  Partial differential equations (35XX) 
6  Numerical analysis (65XX) 
4  Fluid mechanics (76XX) 
1  Mechanics of deformable solids (74XX) 
1  Geophysics (86XX) 