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Published on: April 12, 2019
Benchmark cases for a multi-component Lattice-Boltzmann method in hydrostatic conditions
E P Montellà1,2, B Chareyre1, S Salager1
1University Grenoble Alpes (UGA), CNRS, Grenoble INP, 3SR, Grenoble F-38000, France.
This study uses the lattice Boltzmann method (LBM) to simulate fluid behavior in porous materials. A novel wall retraction technique significantly reduces errors in simulations of multiphase flow.
Area of Science:
- Computational physics
- Pore-scale modeling
- Multiphase flow simulations
Background:
- Understanding fluid behavior in porous media is crucial for various applications.
- Accurate pore-scale simulations are needed to capture complex hydrostatic properties.
- Existing lattice Boltzmann method (LBM) simulations can suffer from discretization errors.
Purpose of the Study:
- To evaluate hydrostatic properties of partially saturated granular materials at the pore scale using LBM.
- To develop and validate a method for reducing discretization errors in LBM simulations.
- To provide practical guidelines for LBM simulations of multiphase problems in porous media.
Main Methods:
- Utilized the lattice Boltzmann method (LBM) with Palabos implementation of the multi-component multiphase Shan-Chen model.
- Developed and applied a solid walls retraction procedure to minimize discretization errors.
- Validated simulation results against benchmark cases, including the Young-Laplace equation and analytical predictions for capillary pressure and meniscus profiles.
Main Results:
- The proposed wall retraction procedure significantly reduces discretization errors, achieving quadratic convergence.
- Simulated equilibrium shapes of pendular bridges show good agreement with the Young-Laplace equation.
- Numerical predictions for entry capillary pressure and meniscus profiles in various tube shapes align with analytical results.
Conclusions:
- The study provides a validated LBM approach for simulating hydrostatic properties in porous media.
- The wall retraction procedure is an effective technique for enhancing the accuracy of LBM simulations.
- Benchmark cases and practical guidelines are offered for future LBM multiphase flow research.
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