Scale-invariant multi-resolution alternative WENO scheme for the Euler equations
The finite difference multi-resolution alternative weighted essentially non-oscillatory (MR-
AWENO) scheme has been designed to solve hyperbolic conservation laws (Wang et al. in …
AWENO) scheme has been designed to solve hyperbolic conservation laws (Wang et al. in …
A high-order nonlinear limiter for discontinuous Galerkin method on parallel adaptive Cartesian grids
The discontinuous Galerkin (DG) method has been widely adopted due to its excellent
properties. However, the problem of designing a class of high-order limiter that takes into …
properties. However, the problem of designing a class of high-order limiter that takes into …
[PDF][PDF] High order bound-and positivity-preserving finite difference affine-invariant AWENO scheme for the five-equation model of two-medium flows
Z Gao, S Guo, BS Wang, Y Gu - Commun. Comput. Phys., 2024 - researchgate.net
Numerical study on compressible two-medium flows has been a hot issue in recent
decades. In this study, we design quasi-conservative finite difference alternative weighted …
decades. In this study, we design quasi-conservative finite difference alternative weighted …
Improved fifth-order weighted essentially non-oscillatory scheme with low dissipation and high resolution for compressible flows
J Ning, X Su, X Xu - Physics of Fluids, 2022 - pubs.aip.org
Compressible flows are numerically simulated using hyperbolic conservation laws. This
study proposes a modified fifth-order weighted essentially non-oscillatory (WENO) scheme …
study proposes a modified fifth-order weighted essentially non-oscillatory (WENO) scheme …
A fourth order numerical scheme for unsteady mixed convection boundary layer flow: A comparative computational study
In this paper, a three-stage fourth-order numerical scheme is proposed. The first and second
stages of the proposed scheme are explicit, whereas the third stage is implicit. A fourth-order …
stages of the proposed scheme are explicit, whereas the third stage is implicit. A fourth-order …
A new type of increasingly higher order finite difference and finite volume MR-WENO schemes with adaptive linear weights for hyperbolic conservation laws
Y Lin, Z Wang, J Zhu - Journal of Computational Physics, 2023 - Elsevier
In this paper, the new fifth-order, seventh-order, and ninth-order finite difference and finite
volume multi-resolution weighted essentially non-oscillatory (MR-WENO) schemes with …
volume multi-resolution weighted essentially non-oscillatory (MR-WENO) schemes with …
A new finite volume multi-resolution central WENO scheme for Navier–Stokes equations on staggered meshes
S Cui, J Zhu - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
In this paper, a new fifth-order finite volume multi-resolution central WENO (MRC-WENO)
scheme is proposed for solving Navier–Stokes equations on staggered meshes. A series of …
scheme is proposed for solving Navier–Stokes equations on staggered meshes. A series of …
A viscous continuum model with smoke effect for pedestrian evacuation
YQ Jiang, SG Zhou, YL Duan, XQ Huang - Physica A: Statistical Mechanics …, 2023 - Elsevier
A viscous continuum pedestrian flow model with smoke effect is presented to simulate
pedestrian evacuation in a smoke-filled walking facility. The viscosity effect is taken into …
pedestrian evacuation in a smoke-filled walking facility. The viscosity effect is taken into …
Assessment of high-order interpolation-based weighted essentially non-oscillatory schemes for compressible Taylor–Green vortex flows
Z Wang, J Zhu, L Tian, N Zhao - Physics of Fluids, 2024 - pubs.aip.org
The coexistence and interaction of shock waves and turbulence occur in various
applications, such as inertial confinement fusion, scramjet propulsion, and supernova …
applications, such as inertial confinement fusion, scramjet propulsion, and supernova …
A multi-resolution weighted compact nonlinear scheme with unconditionally optimal high order
T Hao, Y Chen, S Wang, L Tang, S Song - Physics of Fluids, 2024 - pubs.aip.org
In a recent work [J. Comput. Phys. 477 (2023) 111877], an efficient multi-resolution weighted
compact nonlinear scheme (WCNS) is proposed for solving compressible flows. This paper …
compact nonlinear scheme (WCNS) is proposed for solving compressible flows. This paper …