A family of TENOA-THINC-MOOD schemes based on diffuse-interface method for compressible multiphase flows
In this work, we develop a family of hybrid algorithms to simulate compressible multi-phase
flows by solving the quasi-conservative five-equation model. The general numerical …
flows by solving the quasi-conservative five-equation model. The general numerical …
[HTML][HTML] An almost fail-safe a-posteriori limited high-order CAT scheme
In this paper we blend the high order Compact Approximate Taylor (CAT) numerical
schemes with an a posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm …
schemes with an a posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm …
A new high-fidelity Total Variation Diminishing scheme based on the Boundary Variation Diminishing principle for compressible flows
Y Majima, H Wakimura, T Aoki, F Xiao - Computers & Fluids, 2023 - Elsevier
High-accuracy and stable simulations of compressible flows have been highly demanded in
many engineering situations. However, it remains a challenging task due to the complicated …
many engineering situations. However, it remains a challenging task due to the complicated …
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 …
2020) schemes, have been devised to solve the Euler equations with substantially reduced …
[PDF][PDF] High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws
While the recently proposed TENO (targeted essentially non-oscillatory) schemes [Fu et al.,
Journal of Computational Physics 305 (2016): 333-359] exhibit better performance than the …
Journal of Computational Physics 305 (2016): 333-359] exhibit better performance than the …
A MOOD-like compact high order finite volume scheme with adaptive mesh refinement
R Loubère, R Turpault, A Bourriaud - Applied Mathematics and …, 2023 - Elsevier
In this paper, a novel Finite Volume (FV) scheme for obtaining high order approximations of
solutions of multi-dimensional hyperbolic systems of conservation laws within an Adaptive …
solutions of multi-dimensional hyperbolic systems of conservation laws within an Adaptive …
High-order gas kinetic flux solver with TENO-THINC scheme for compressible flows
L Jiang, J Wu, L Yang, Q Qin - Computers & Fluids, 2025 - Elsevier
Although gas kinetic schemes (GKS) have been widely used as a potent tool for simulating
compressible flows, they exhibit numerous drawbacks. Since most GKS are constructed …
compressible flows, they exhibit numerous drawbacks. Since most GKS are constructed …
A new reconstruction of numerical fluxes for conservation laws using fuzzy operators
This article develops a new hybrid flux‐limited scheme for a numerical solution of the
hyperbolic conservation laws by applying fuzzy logic‐based operator functions. The …
hyperbolic conservation laws by applying fuzzy logic‐based operator functions. The …
High-Resolution Boundary Variation Diminishing Scheme for Two-Phase Compressible Flow with Cavitation and Evaporation
We propose high-resolution numerical schemes for two-phase compressible flow
simulations to reproduce dynamically created gas/vapor-liquid interfaces with phase …
simulations to reproduce dynamically created gas/vapor-liquid interfaces with phase …
Solution property preserving reconstruction BVD+ MOOD scheme for compressible euler equations with source terms and detonations
Abstract In “Solution Property Reconstruction for Finite Volume scheme: a BVD+ MOOD
framework”, Int. J. Numer. Methods Fluids, 2020, we have designed a novel solution …
framework”, Int. J. Numer. Methods Fluids, 2020, we have designed a novel solution …