Soms- a second order monotone scheme for-shock capturing and its application to the solutions of compressible Navier-Stokes equations

  • Hua-mo Wu
  • Ming-liang Yang
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 141)


This work proposes the SOMS- a Second Order Monotone Scheme for hydrodynamic calculations. This scheme combines a first order and second order accurate schemes using a new switch function. The SOMS has been applied with success to the numerical solutions of compressible Navier- Stokes equations. The numerical tests show the advantage of this scheme in the monotone property of shock transition, the steepness of the shock profile and the high accuracy of the results in regions where the solution is smooth.


Hybrid Scheme Switch Function Order Scheme Inviscid Flow High Order Accuracy 
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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Hua-mo Wu
    • 1
  • Ming-liang Yang
    • 1
  1. 1.Computing Centre of Academia SinicaBeijingChina

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