Flow in deformable porous media . Part 2 Numerical analysis-the relationship between shock waves and solitary waves

@inproceedings{Spiegelman1993FlowID,
  title={Flow in deformable porous media . Part 2 Numerical analysis-the relationship between shock waves and solitary waves},
  author={M. Spiegelman},
  year={1993}
}
Using numerical schemes, this paper demonstrates how viscous resistance to volume changes modifies the simplest shock wave solutions presented in Part 1 . For an initial condition chosen to form a step-function shock, viscous resistance causes the shock to disperse into a rank-ordered wavetrain of solitary waves. Large obstructions in flux produce large-amplitude, slow-moving wavetrains while smaller shocks shed small-amplitude waves. While the viscous resistance term is initially important… CONTINUE READING
Highly Cited
This paper has 111 citations. REVIEW CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 50 extracted citations

111 Citations

0510'95'00'06'12'18
Citations per Year
Semantic Scholar estimates that this publication has 111 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-7 of 7 references

Non-linear waves in compacting media

  • F M.
  • J . Fluid Mech. 164,
  • 1986
Highly Influential
5 Excerpts

Dynamical models for melt segregation from a deformable SCOTT , D . & STEVENSON , D . 1984 Magma solitons

  • D. SCOTT, I STEVENSON
  • Geophys . Res . Lett .
  • 1984
Highly Influential
4 Excerpts

Melt extraction from the mantle beneath spreading

  • E M.
  • 1991

Magma ascent by porous flow

  • M. E.
  • J . Geophys . Res .
  • 1986

Simple models of trace element fractionation during melt sepegation

  • F M.
  • Earth RICHTER,
  • 1986

The generation and conipaction of partially molten rock

  • P. OLSON, B. TEUKOLSKY FLANNERY, S., F. M. RICHTER
  • 1984

Solitons and Non-linear Wave Equations

  • MORRIS
  • 1982
1 Excerpt

Similar Papers

Loading similar papers…