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Three dimensional numerical modeling of multiphase flow and transport
V Lagendijk1, C Forkel, J Köngeter
1Institute of Hydraulic Engineering and Water Resources Management, Aachen University of Technology, Germany. lagendijk@iww.rwth-aachen.de
Summary
This study presents a finite element method for multiphase flow and transport, solving coupled equations for fluid pressures and phase concentrations. The numerical model was verified and applied, demonstrating its capability for complex simulations.
Area of Science:
- Computational fluid dynamics
- Numerical modeling
- Multiphase flow simulation
Background:
- Coupled multiphase flow and transport phenomena are critical in various scientific and engineering fields.
- Accurate numerical solutions are essential for understanding and predicting complex system behaviors.
Purpose of the Study:
- To develop and verify a numerical model for solving coupled multiphase flow and transport problems.
- To address the challenges posed by strong nonlinearities and coupled equations in such systems.
Main Methods:
- Finite element method (FEM) utilizing linear three-dimensional tetraeder elements.
- Simultaneous solution of three-phase fluid pressures.
- Newton-Raphson iteration scheme with relaxation for nonlinearities.
- Simultaneous solution of water and gas transport equations, direct solution for solid phase concentration.
Main Results:
- The numerical model successfully solved the coupled multiphase flow and transport equations.
- Verification against analytical, quasi-analytical, and numerical models confirmed the model's accuracy.
- The model demonstrated its applicability through initial simulations.
Conclusions:
- The developed FEM approach provides a robust method for simulating coupled multiphase flow and transport.
- The model effectively handles strong nonlinearities and interphase mass transfer kinetics.
- The verified model serves as a valuable tool for further research and applications in relevant fields.