TY - JOUR
T1 - A unified finite element formulation for compressible and incompressible flows using augmented conservation variables
AU - Mittal, S.
AU - Tezduyar, T.
PY - 1998/8
Y1 - 1998/8
N2 - A unified approach to computing compressible and incompressible flows is proposed. The governing equation for pressure is selected based on the local Mach number. In the incompressible limit the divergence-free constraint on velocity field determines the pressure, while it is the equation of state that governs the pressure solution for the compressible flows. Stabilized finite element formulations, based on the space-time and semi-discrete methods, with the `augmented' conservation variables are employed. The `augmented' conservation variables consist of the usual conservation variables and pressure as an additional variable. The formulation is applied to various test problems involving steady and unsteady flows over a large range of Mach and Reynolds numbers.
AB - A unified approach to computing compressible and incompressible flows is proposed. The governing equation for pressure is selected based on the local Mach number. In the incompressible limit the divergence-free constraint on velocity field determines the pressure, while it is the equation of state that governs the pressure solution for the compressible flows. Stabilized finite element formulations, based on the space-time and semi-discrete methods, with the `augmented' conservation variables are employed. The `augmented' conservation variables consist of the usual conservation variables and pressure as an additional variable. The formulation is applied to various test problems involving steady and unsteady flows over a large range of Mach and Reynolds numbers.
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U2 - 10.1016/S0045-7825(97)00318-6
DO - 10.1016/S0045-7825(97)00318-6
M3 - Article
AN - SCOPUS:0032508401
SN - 0045-7825
VL - 161
SP - 229
EP - 243
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 3-4
ER -