Constraint Preserving Schemes Using Potential-Based Fluxes. II. Genuinely Multidimensional Systems of Conservation Laws

@article{Mishra2011ConstraintPS,
  title={Constraint Preserving Schemes Using Potential-Based Fluxes. II. Genuinely Multidimensional Systems of Conservation Laws},
  author={Siddhartha Mishra and Eitan Tadmor},
  journal={SIAM J. Numerical Analysis},
  year={2011},
  volume={49},
  pages={1023-1045}
}
We introduce a class of numerical schemes that preserve a discrete version of vorticity in conservation laws which involve grad advection. These schemes are based on reformulating finite volume schemes in terms of vertex centered numerical potentials. The resulting potential-based schemes have a genuinely multidimensional structure. A suitable choice of potentials leads to discrete vorticity preserving schemes that are simple to code, computationally inexpensive, and proven to be stable. We… CONTINUE READING
5 Citations
37 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 37 references

Constraint preserving schemes using potential-based fluxes

  • S. Mishra, E. Tadmor
  • I. Multidimensional transport equations, Commun…
  • 2010
Highly Influential
5 Excerpts

Finite Volume Methods for Hyperbolic Problems

  • R. J. LeVeque
  • Cambridge University Press, Cambridge, UK
  • 2002
Highly Influential
5 Excerpts

Approximate Riemann solvers and robust high order finite volume schemes for multi-dimensional ideal MHD equations

  • F. G. Fuchs, A. D. McMurry, S. Mishra, N. H. Risebro, K. Waagan
  • Commun. in Comput. Phys., 9
  • 2011
1 Excerpt

Hyperbolic Conservation Laws in Continuum Physics

  • C. Dafermos
  • Springer, Berlin
  • 2009
2 Excerpts

On curl-preserving finite volume discretizations for shallow water equations

  • R. Jeltsch, M. Torrilhon
  • BIT, 46
  • 2006
2 Excerpts

Similar Papers

Loading similar papers…