Computer Science – Numerical Analysis
Scientific paper
2011-05-03
Computer Science
Numerical Analysis
Scientific paper
In this paper we consider a modification to Darcy equation by taking into account the dependence of viscosity on the pressure. We present a stabilized mixed formulation for the resulting governing equations. Equal-order interpolation for the velocity and pressure is considered, and shown to be stable (which is not the case under the classical mixed formulation). The proposed mixed formulation is tested using a wide variety of numerical examples. The proposed formulation is also implemented in a parallel setting, and the performance of the formulation for large-scale problems is illustrated using a representative problem. Two practical and technologically important problems, one each on enhanced oil recovery and carbon-dioxide sequestration, are solved using the proposed formulation. The numerical results clearly indicate the importance of considering the role of dependence of viscosity on the pressure.
Nakshatrala Kalyana B.
Turner D. Z.
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