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Parametric Optimization Design Method for Friction Plates of Hydro-Viscous Clutches
Published on: July 22, 2025
797
Finite-volume WENO scheme for viscous compressible multicomponent flows
Vedran Coralic1, Tim Colonius1
1Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA.
Journal of Computational Physics
|August 12, 2014
Summary
We developed a new numerical method for simulating complex fluid flows, ensuring accurate mass, momentum, and energy conservation without spurious oscillations. This high-order accurate method is validated for shock and interface capturing in multicomponent flows.
Area of Science:
- Computational fluid dynamics
- Multiphase flow simulation
- Numerical analysis
Background:
- Simulating multicomponent flows requires methods that accurately capture shocks and interfaces.
- Existing methods may introduce spurious oscillations or lack conservation properties.
Purpose of the Study:
- To develop a robust, high-order accurate numerical method for compressible Navier-Stokes equations.
- To ensure discrete conservation of mass, momentum, and energy.
- To achieve oscillation-free simulation of shocks and material interfaces.
Main Methods:
- Godunov-type, finite-volume, fifth-order weighted essentially non-oscillatory (WENO) scheme for spatial reconstruction.
- Harten-Lax-van Leer contact (HLLC) approximate Riemann solver for flux upwinding.
- Third-order total variation diminishing (TVD) Runge-Kutta (RK) time integration.
Main Results:
- The method is fourth-order accurate in space and third-order accurate in time in smooth regions.
- Demonstrated discrete conservation of mass, momentum, and energy.
- Successfully simulated challenging 1D, 2D, and 3D test cases, including complex bubble collapse.
Conclusions:
- The developed numerical method is highly accurate and robust for multicomponent flows.
- It effectively captures shocks and interfaces without spurious oscillations.
- Validated for complex scenarios like asymmetric bubble collapse in a fluid-gelatin mixture.
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