journal6 ›› 2007, Vol. 28 ›› Issue (4): 30-34.

• Mathematics • Previous Articles     Next Articles

Numerical Study of Two High-Order Schemes for Compressible Euler Equation


  1. (1.Mathematics Department,Huizhou University,Huizhou 516007,Guangdong China;2.College of Mathematics and Computation Science,Xiangtan University,Xiangtan 411105,Hunan China;3.College of Mathematics and Computer Science,Jishou University,Jishou 416000,Hunan China)
  • Online:2007-07-25 Published:2012-06-15

Abstract: A numerical study is undertaken to compare the fifth-order finite difference weighted essentially non-oscillatory scheme (FD-WENO5) to the second-order Godunov scheme  MUSCL (monotonic upstream-centered scheme for conservation laws).For quantitative comparison purpose,these methods are tested on a series of problems whose true solutions are known or can be computed with high accuracy,such as the two-dimensional Burgers initial problems,the two-dimensional periodic vortex problem,Richtmyer-Meshkov instability problems and Rayleigh-Taylor instability problems.The results can be referred to as to how to choose the numerical method when solving the problems of gas dynamics and radiation hydrodynamics.

Key words: weighted essentially non-oscillatory scheme, Godunov scheme, Euler equation

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