Higher‐order‐accurate numerical method for temporal stability simulations of Rayleigh‐Bénard‐Poiseuille flows
Sign Up to like & getrecommendations! Published in 2020 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4877
Abstract: For Rayleigh‐Bénard‐Poiseuille flows, thermal stratification resulting from a wall‐normal temperature gradient together with an opposing gravitational field can lead to buoyancy‐driven instability. Moreover, for sufficiently large Reynolds numbers, viscosity‐driven instability can occur. Two higher‐order‐accurate methods… read more here.
Keywords: rayleigh nard; order; order accurate; instability ... See more keywords
Linear, Second-Order Accurate, and Energy Stable Scheme for a Ternary Cahn–Hilliard Model by Using Lagrange Multiplier Approach
Sign Up to like & getrecommendations! Published in 2021 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-021-00405-6
Abstract: We develop a second-order accurate, energy stable, and linear numerical method for a ternary Cahn–Hilliard (CH) model. The proposed scheme is an extension of typical Lagrange multiplier approach for binary CH system. The second-order backward… read more here.
Keywords: order accurate; order; scheme; energy ... See more keywords
Compact High Order Accurate Schemes for the Three Dimensional Wave Equation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-019-00970-x
Abstract: We construct a family of compact fourth order accurate finite difference schemes for the three dimensional scalar wave (d’Alembert) equation with constant or variable propagation speed. High order accuracy is of key importance for the… read more here.
Keywords: order accurate; order; three dimensional; schemes three ... See more keywords
Fourth-order accurate finite-volume CWENO scheme for astrophysical MHD problems
Sign Up to like & getrecommendations! Published in 2018 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/sty2641
Abstract: In this work, a simple fourth-order accurate finite volume semi-discrete scheme is introduced to solve astrophysical magnetohydrodynamics (MHD) problems on Cartesian meshes. Hydrodynamic quantities like density, momentum and energy are discretised as volume averages. The… read more here.
Keywords: order accurate; order; volume; fourth order ... See more keywords
A High-Order-Accurate 3D Surface Integral Equation Solver for Uniaxial Anisotropic Media
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Antennas and Propagation"
DOI: 10.1109/tap.2023.3246084
Abstract: This article introduces a high-order accurate surface integral equation (SIE) method for solving 3-D electromagnetic scattering for dielectric objects with uniaxially anisotropic permittivity tensors. The N-Müller formulation is leveraged, resulting in a second-kind integral formulation,… read more here.
Keywords: order accurate; surface integral; high order; accurate surface ... See more keywords
Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Models and Methods in Applied Sciences"
DOI: 10.1142/s0218202517500348
Abstract: This paper first studies the admissible state set ???? of relativistic magnetohydrodynamics (RMHD). It paves a way for developing physical-constraints-preserving (PCP) schemes for the RMHD equations with the solutions in ????. To overcome the difficulties… read more here.
Keywords: order accurate; physical constraints; pcp schemes; condition ... See more keywords
Construction of the High Order Accurate Generalized Finite Difference Schemes for Inviscid Compressible Flows
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Computational Physics"
DOI: 10.4208/cicp.oa-2017-0040
Abstract: The construction of high order accurate generalized finite difference method for inviscid compressible flows still remains an open problem in the literature. In this paper, the high order accurate generalized finite difference schemes have been… read more here.
Keywords: generalized finite; order accurate; construction high; order ... See more keywords
On the suitability of second-order accurate finite-volume solvers for the simulation of atmospheric boundary layer flow
Sign Up to like & getrecommendations! Published in 2021 at "Geoscientific Model Development"
DOI: 10.5194/gmd-14-1409-2021
Abstract: Abstract. The present work analyzes the quality and reliability of an important class of general-purpose, second-order accurate finite-volume (FV) solvers for the large-eddy simulation of a neutrally stratified atmospheric boundary layer (ABL) flow. The analysis… read more here.
Keywords: order accurate; finite volume; layer; accurate finite ... See more keywords