High fidelity discontinuity-resolving reconstruction for compressible multiphase flows with moving interfaces

X Deng, S Inaba, B Xie, KM Shyue, F Xiao - Journal of Computational …, 2018 - Elsevier
We present in this work a new reconstruction scheme, so-called MUSCL-THINC-BVD
scheme, to solve the five-equation model for interfacial two phase flows. This scheme …

A fifth-order shock capturing scheme with two-stage boundary variation diminishing algorithm

X Deng, Y Shimizu, F Xiao - Journal of Computational Physics, 2019 - Elsevier
A novel 5th-order shock capturing scheme is presented in this paper. The scheme, so-called
P 4 T 2− BVD (polynomial of 4-degree and THINC function of 2-level reconstruction based …

A pressure‐based method for weakly compressible two‐phase flows under a Baer–Nunziato type model with generic equations of state and pressure and velocity …

B Re, R Abgrall - … Journal for Numerical Methods in Fluids, 2022 - Wiley Online Library
Within the framework of diffuse interface methods, we derive a pressure‐based Baer–
Nunziato type model well‐suited to weakly compressible multiphase flows. The model can …

Machine learning optimization of compact finite volume methods on unstructured grids

CB Zhou, Q Wang, YX Ren - Journal of Computational Physics, 2024 - Elsevier
Fourier analysis based optimization techniques have been developed for numerical
schemes on structured grids and result in significant performance improvements. However …

An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler …

M Dehghan, M Abbaszadeh - Engineering Analysis with Boundary …, 2018 - Elsevier
The current paper is an improvement of the developed technique in Shu et al.(2005). The
proposed improvement is to reduce the used CPU time for employing the local radial basis …

Low-dissipation BVD schemes for single and multi-phase compressible flows on unstructured grids

L Cheng, X Deng, B Xie, Y Jiang, F Xiao - Journal of Computational …, 2021 - Elsevier
Solving compressible flows containing both smooth and discontinuous flow structures still
remains a big challenge for finite volume methods, especially on unstructured grids where …

A fifth-order high-resolution shock-capturing scheme based on modified weighted essentially non-oscillatory method and boundary variation diminishing framework …

Q Li, K Yokoi, Z Xie, S Omar, J Xue - Physics of Fluids, 2021 - pubs.aip.org
First, a new reconstruction strategy is proposed to improve the accuracy of the fifth-order
weighted essentially non-oscillatory (WENO) scheme. It has been noted that conventional …

Compact high-order gas-kinetic scheme for three-dimensional flow simulations

X Ji, F Zhao, W Shyy, K Xu - AIAA Journal, 2021 - arc.aiaa.org
A third-order compact gas-kinetic scheme is proposed for three-dimensional compressible
flow computations. The new scheme is based on three key ingredients: the time-accurate …

Symmetry-preserving enforcement of low-dissipation method based on boundary variation diminishing principle

H Wakimura, S Takagi, F Xiao - Computers & Fluids, 2022 - Elsevier
A class of high-order shock-capturing schemes, P n T m-BVD (Deng et al., 2019; Deng et al.,
2020) schemes, have been devised to solve the Euler equations with substantially reduced …

High-order central-upwind shock capturing scheme using a boundary variation diminishing (BVD) algorithm

AS Chamarthi, SH Frankel - Journal of Computational Physics, 2021 - Elsevier
In this paper, we present a novel hybrid nonlinear explicit-compact scheme for shock-
capturing based on a boundary variation diminishing (BVD) reconstruction. In our approach …