Space discontinuous Galerkin method for shallow water flows—kinetic and HLLC flux, and potential vorticity generation

@inproceedings{Tassi2007SpaceDG,
  title={Space discontinuous Galerkin method for shallow water flows—kinetic and HLLC flux, and potential vorticity generation},
  author={Pablo Tassi and Onno Bokhove and Carlos Alberto. Vionnet},
  year={2007}
}
In this paper, a second order space discontinuous Galerkin (DG) method is presented for the numerical solution of inviscid shallow water flows over varying bottom topography. Novel in the implementation is the use of HLLC and kinetic numerical fluxes in combination with a dissipation operator, applied only locally around discontinuities to limit spurious numerical oscillations. Numerical solutions over (non-)uniform meshes are verified against exact solutions; the numerical error in the $L_2… CONTINUE READING
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References

Publications referenced by this paper.
SHOWING 1-10 OF 38 REFERENCES

Space-time discontinuous Galerkin finite element modeling of rotating shallow water flows

V. R. Ambati, O. Bokhove
  • J. Comp. Phys., submitted, http://eprints.eemcs.utwente.nl/,
  • 2006
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Note on numerical simulation of shallow water

G. Hu
  • Bristol University, School. of Mathematics. Rep. No
  • 2002
VIEW 9 EXCERPTS
HIGHLY INFLUENTIAL

Behaviour of a bore over a conical shoal

H. Matsutomi, A. Mochizula
  • Tohoku Journal of Natural Disaster Science
  • 2001
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

On the Choice of Wavespeeds for the HLLC Riemann Solver

  • SIAM J. Scientific Computing
  • 1997
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

Numerical methods for conservation laws

R. J. LeVeque
  • Lectures in mathematics ETH Zürich,
  • 1990
VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

Linear and Nonlinear Waves

VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

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