Improvements to SOIL: An Eulerian hydrodynamics code Page: 5 of 20
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All quantities in SOIL are cell centered so,
UK + UK+1
u. - 2
and a quantity A is the transmitted flux defined as
A - u At
u - u - + (- A)
K + i'
i + K, i -
L Ax J
This is the algorithm used in SOIL for advecting the velocity. The
method is approximately second-order accurate. Other considerations for
improvements to SOIL are in the methods used in treating shocks, mixed cells
and the question of vectorizing and/or multitasking the code. At present we
believe that the Tillotson approach to the EOS is reasonable for geological
materials, though the EONESS routine currently in CHARTD may eventually be
The pseudo-viscosity treatment used in SOIL, to treat shocks, is
standard. The Qs are formed in subroutine, PTWO in the following manner,
q - qLPc|Au| + qQ p(Au)2 , (4)
where the sound speed c can either be constant or stored in an array as
determined in the equation-of-state routine. The sound speed is determined
c - (yP/p)1/2 or OP/dp)1/2
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Davis, C.G. Improvements to SOIL: An Eulerian hydrodynamics code, report, April 1, 1988; New Mexico. (https://digital.library.unt.edu/ark:/67531/metadc1064690/m1/5/: accessed April 19, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.