Abstract
Simulating multiphase flows requires capturing the sharp interface between different fluids. Carrying out such simulations using high-order methods is challenging due to the Gibbs phenomenon. The appearance of spurious oscillations in the vicinity of discontinuities and steep gradients makes it difficult to accurately resolve shocks and sharp interfaces. In this talk, an approach for interface capturing in PyFR using a preconditioned and localized phase-field model is presented. The accuracy of the interface normal vectors used in the phase-field model is improved by utilizing a preconditioning procedure based on the level set method with localized artificial viscosity stabilization. Kinematic numerical tests in 2D and 3D show that the developed approach significantly improves accuracy with little added computational effort, and yields better results when compared to similar methods. Dynamic interface capturing validation tests are carried out by coupling the proposed method to the entropically damped artificial compressibility method for solving the incompressible Navier–Stokes equations.
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