Investigating effects of heterogeneity and fracture distribution on two-phase flow in fractured reservoir with adaptive time strategy

LY Wang, WZ Chen, YJ Zhang, XD Zhang… - Transport in Porous …, 2023 - Springer
Modeling of fluid flow in porous media is a pillar in geoscience applications. Previous
studies have revealed that heterogeneity and fracture distribution have considerable …

Study of underwater explosion near rigid cylinder column with numerical method

L Li, FN Airaudo, R Löhner - Ocean Engineering, 2023 - Elsevier
A finite volume method with five-equation model for multi-fluid is implemented in a three-
dimensional unstructured vertex centered code, FEFLO. Air, water, and high explosive (HE) …

Analysis on physical-constraint-preserving high-order discontinuous Galerkin method for solving Kapila's five-equation model

F Zhang, J Cheng - Journal of Computational Physics, 2023 - Elsevier
This work focuses on the analysis and development of a high-order physical-constraint-
preserving discontinuous Galerkin (DG) method for compressible two-fluid flows by solving …

On the design of stable, consistent, and conservative high-order methods for multi-material hydrodynamics

AK Pandare, J Waltz, W Li, H Luo, J Bakosi - Journal of Computational …, 2023 - Elsevier
Obtaining stable and high-order numerical solutions for multi-material hydrodynamics is an
open challenge. Although slope limiters are widely used to maintain monotonicity near …

A discontinuous Galerkin method for the simulation of compressible gas-gas and gas-water two-medium flows

J Cheng, F Zhang, T Liu - Journal of Computational Physics, 2020 - Elsevier
In this paper, we develop a new discontinuous Galerkin method for the simulation of shocks
and interfaces in compressible gas-gas and gas-water two-medium flows by solving the γ …

A quasi-conservative discontinuous Galerkin method for solving five equation model of compressible two-medium flows

J Cheng, F Zhang, T Liu - Journal of Scientific Computing, 2020 - Springer
In this work, we develop a quasi-conservative discontinuous Galerkin method for the
simulation of compressible gas-gas and gas-water two-medium flows by solving the five …

Multi-material hydrodynamics with algebraic sharp interface capturing

AK Pandare, J Waltz, J Bakosi - Computers & Fluids, 2021 - Elsevier
A finite volume method for Eulerian multi-material hydrodynamics with sharp interface
capturing is presented. The pressure-temperature non-equilibrium multi-material system …

A bound-preserving and positivity-preserving finite volume WENO scheme for solving five-equation model of two-medium flows

F Zhang, J Cheng - Communications in Nonlinear Science and Numerical …, 2022 - Elsevier
In this paper, we develop a physical-constraint-preserving high-order finite volume WENO
scheme for compressible two-medium gas–gas and gas–liquid interfacial flows. Using high …

High-order positivity-preserving method in the flux reconstruction framework for the simulation of two-medium flow

L Huang, Z Jiang, X Qin, X Zhang, C Yan - Journal of Computational …, 2023 - Elsevier
In this article, an accurate and robust numerical method is developed for solving the
compressible two-medium model. The method in arbitrary high-order case has the following …

A reconstructed discontinuous Galerkin method for multi‐material hydrodynamics with sharp interfaces

AK Pandare, J Waltz, J Bakosi - International Journal for …, 2020 - Wiley Online Library
Discontinuous Galerkin (DG) methods have been well established for single‐material
hydrodynamics. However, consistent DG discretizations for non‐equilibrium multi‐material …