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(The stationary contact discontinuity problem).
In particular, stationary contact waves are resolved exactly.
They enable a stationary contact discontinuity to be captured on a mesh.
In this paper, we present the Riemann problem and the interactions of the stationary contact discontinuity with the elementary waves.
By the interaction between the stationary contact wave and the shock wave or rarefaction wave, the global solutions are constructed.
The second family is linearly degenerate, that is, (sigma=0), which implies that it is a stationary contact wave.
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The mechanical analyses of stationary rolling contact problems considering linear-viscoelastic rollers were presented by Gonzalez and Abascal (2004, 2006).
The scheme can exactly resolve stationary 1D contact discontinuities, and it avoids the carbuncle problem in multi-dimensional computations.
The Introduction has shown that it is very desirable to have Riemann solvers that can capture stationary, isolated contact discontinuities as well as stationary, isolated Alfven waves.
Mignone et al. (2009), also enable a code to capture stationary, isolated contact discontinuities as well as stationary, isolated Alfven waves.
As a result, the HLLI Riemann solver enables a code to capture stationary, isolated contact discontinuities as well as stationary, isolated Alfven waves at a very low computational cost.
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