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

Abstract

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… (More)

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