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A 3D OPENFOAM BASED FINITE VOLUME SOLVER FOR INCOMPRESSIBLE OLDROYD-B MODEL WITH INFINITY RELAXATION TIME.
Jing Tian1, Mingchao Cai2, Zhendong Luo3
1Department of Mathematics, Towson University, Towson, MD 21252-0001, USA.
Communications in Nonlinear Science & Numerical Simulation
|December 18, 2023
Summary
This study introduces a new Finite Volume solver for the 3D incompressible Oldroyd-B model, demonstrating its accuracy and robustness for fluid dynamics simulations.
Area of Science:
- Computational Fluid Dynamics
- Rheology
- Applied Mathematics
Background:
- The Oldroyd-B model is a fundamental viscoelastic fluid model.
- Simulating incompressible viscoelastic flows presents numerical challenges.
- Accurate and robust numerical methods are crucial for understanding complex fluid behavior.
Purpose of the Study:
- To develop and validate a Finite Volume solver for the 3D incompressible Oldroyd-B model.
- To implement the solver using the OpenFOAM software.
- To assess the algorithm's stability, accuracy, and robustness.
Main Methods:
- Finite Volume Method (FVM) applied to the Oldroyd-B model.
- Implementation within the OpenFOAM computational mechanics software.
- Imposition of the divergence-free condition as a constraint for pressure equation derivation.
- Application of a predictor-corrector procedure for velocity field solution.
Main Results:
- The developed Finite Volume solver demonstrates robustness and accuracy.
- Numerical experiments confirm the algorithm's performance.
- Successful computation and illustration of two benchmark cases: a cubical domain and a dumbbell geometry.
Conclusions:
- The proposed Finite Volume solver is a reliable tool for simulating 3D incompressible Oldroyd-B fluids.
- The OpenFOAM implementation provides a practical framework for viscoelastic flow research.
- The study validates the numerical approach for complex rheological simulations.
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