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Numerical Solution of Two-Dimensional Stokes Equations for Flow with Particles in a Channel of Arbitrary Shape Using
1Creare Incorporated. Hanover, New Hampshire 03755.
Journal of Computational Physics
|September 26, 2017
Summary
A new numerical scheme solves two-dimensional Stokes equations for complex geometries. This finite-difference method accurately simulates fluid flow around multiple particles in various channels.
Area of Science:
- Fluid Dynamics
- Computational Mechanics
- Numerical Analysis
Background:
- Stokes equations govern low-Reynolds-number flows.
- Solving these equations in multiconnected domains presents challenges.
- Existing methods may lack flexibility for complex geometries.
Purpose of the Study:
- To develop and validate a novel numerical scheme for solving 2D Stokes equations.
- To handle fluid flow problems in multiconnected domains with arbitrary shapes.
- To provide a versatile tool for simulating particle-fluid interactions.
Main Methods:
- A finite-difference approach is employed.
- The scheme utilizes general curvilinear coordinates.
- Numerical solutions are validated against analytical results.
Main Results:
- The proposed scheme accurately solves 2D Stokes equations.
- Calculations for a circular particle in a plane channel show good agreement with analytical solutions.
- The method demonstrates applicability to complex scenarios.
Conclusions:
- The developed numerical scheme is effective for 2D Stokes flow in multiconnected domains.
- It offers a flexible and accurate approach for simulating flows with multiple particles of arbitrary shapes.
- This method provides a valuable tool for computational fluid dynamics research.
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