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    STUDIA MATHEMATICA - Issue no. 4 / 2014  
         
  Article:   COMPARISON OF RIEMANN SOLVERS IN FLUID DYNAMICS BY WEIGHTED ERROR NUMBER.

Authors:  .
 
       
         
  Abstract:   After using a numerical method our eyes are good witnesses whether that method is good or not. We aim to provide, for first order hyperbolic systems, a number that measures, determines the quality of a method instead of deciding by figures. This number is based on the 1 vector norm of the error vector, combined with weighting. This weight vector has bigger values near discontinuities and kinks because most of the Riemann-solvers have difficulties (including numerical diffusion and oscillations) in solving the equations near these states.

Mathematics Subject Classification (2010): 65M06.
Keywords: Riemann-solver, hyperbolic equation.
 
         
     
         
         
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