Conservative difference formulations, energy estimates and artificial dissipation


  • Carlsson A
  • Nordström J

Publish date: 2002-01-01

Report number: FOI-R--0509--SE

Pages: 45

Written in: English


An artificial dissipation term for linear and nonlinear hyperbolic Cauchy problems is determined such that we obtain an energy estimate despite a conservative formulation of the problems. The differential equations are solved using second, fourth and sixth order accurate difference operators, which all satisfy summation-by-parts properties. The dissipation terms are computed such that there is no loss of accuracy.