# Shock tube problem

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 Revision as of 13:49, 19 December 2008 (view source)m (bascoletoco)← Older edit Latest revision as of 14:18, 19 December 2008 (view source)Peter (Talk | contribs) m (Reverted edits by C4tc4Tsitc (Talk) to last version by Jola) Line 1: Line 1: - troccvarol '''Shock tube problem''' is a special case of [[Riemann problem]] with velocities on both sides of discontinuity set to zero. It is often used as a test case for validation of numerical codes, because analytical solutions are available.The initial condition is given by '''Shock tube problem''' is a special case of [[Riemann problem]] with velocities on both sides of discontinuity set to zero. It is often used as a test case for validation of numerical codes, because analytical solutions are available.The initial condition is given by :$u=u_L=0 , p=p_L , \rho=\rho_L, x<0,$ :$u=u_L=0 , p=p_L , \rho=\rho_L, x<0,$

## Latest revision as of 14:18, 19 December 2008

Shock tube problem is a special case of Riemann problem with velocities on both sides of discontinuity set to zero. It is often used as a test case for validation of numerical codes, because analytical solutions are available.The initial condition is given by

$u=u_L=0 , p=p_L , \rho=\rho_L, x<0,$
$u=u_R=0 , p=p_R , \rho=\rho_R, x>0.$

A well-known special case is the Sod problem (Sod, 1978) with initial conditions

$p_L=1, \rho_L=1, p_R=0.1, \rho_R=0.125.$