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Even the gentlest sound wave, in which density and pressure initially oscillate in a smooth and sinusoidal fashion, develops into a succession of weak shock fronts in time.
Although disturbances (strong and weak shock waves) are visible, their effects are negligible.
Haas, B. Sturtevant, Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities, J. Fluid Mech.
For a weak shock, we may assume that p = O ϵ, 0 < ϵ ≪ 1. Open image in new window.
The standoff distance of the shock structure is unusually large, which is the sign of a weak shock.
It is shown that for a weak shock, the disturbance evolves like an acceleration wave at the leading order.
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This includes test results from 2D simulations of linear sound waves as well as weak shocks.
The evolutionary behavior of the weak shocks in a non-ideal gas is described using the truncation approximation.
Janenko (Ed)., Difference Methods for Solutions of Problems of Mathematical Physics, I, American Mathematical Society, Providence, RI, 1967] for discontinuity-capturing operators in the limit of weak shocks are shown.
A multidimensional scheme achieves good resolution of strong and weak shocks irrespective of whether the discontinuities are aligned with or inclined to the grid.
The new primitive preconditioner can handle both strong and weak shocks, providing highly resolved shock solutions together with correct shock speeds.
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