A finite element method for transient compressible flow in pipelines

1987 ◽  
Vol 7 (3) ◽  
pp. 291-303 ◽  
Author(s):  
C. Bisgaard ◽  
H. H. Sørensen ◽  
S. Spangenberg
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Compressible Flow ◽  
Element Method

scholarly journals A Stabilized Mixed Finite Element Method for Single-Phase Compressible Flow

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Liyun Zhang ◽  
Zhangxin Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Compressible Flow ◽  
Single Phase ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Optimal Error Estimate ◽  
Pressure Projection ◽  
Stabilized Mixed Finite Element ◽  
Element Method

We present and study a stabilized mixed finite element method for single-phase compressible flow through porous media. This method is based on a pressure projection stabilization method for multiple-dimensional incompressible flow problems by using the lowest equal-order pair for velocity and pressure (i.e., theP1−P1pair). An optimal error estimate in divergence norm for the velocity and suboptimal error estimates in theL2-norm for both velocity and pressure are obtained. Numerical results are given in support of the developed theory.

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