Experiences with two detached eddy simulation approaches through use of a high‐order finite volume solver
Sign Up to like & getrecommendations! Published in 2020 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4811
Abstract: In the present study, two advanced detached eddy simulation (DES) approaches, shear‐layer‐adapted delayed DES and zonal DES in mode II, which are known to help transition from RANS to LES mode, are employed in various… read more here.
Keywords: eddy simulation; detached eddy; order finite; finite volume ... See more keywords
The QUICK scheme is a third‐order finite‐volume scheme with point‐valued numerical solutions
Sign Up to like & getrecommendations! Published in 2020 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4975
Abstract: In this paper, we resolve the ever‐present confusion over the Quadratic Upwind Interpolation for Convective Kinematics (QUICK) scheme: it is a second‐order scheme or a third‐order scheme. The QUICK scheme, as proposed in the original… read more here.
Keywords: scheme third; order; order finite; quick scheme ... See more keywords
Stability analysis of high-order finite-difference discretizations of the linearized forward-speed seakeeping problem
Sign Up to like & getrecommendations! Published in 2019 at "Applied Ocean Research"
DOI: 10.1016/j.apor.2019.101913
Abstract: Abstract A high-order finite-difference method solution of the linearized, potential flow, seakeeping problem for a ship at steady forward speed was recently presented by Amini-Afshar et al. [1,2]. In this paper, we provide a detailed matrix-based… read more here.
Keywords: analysis; high order; finite difference; order finite ... See more keywords
An efficient automated higher-order finite element computation technique using parabolic arcs for planar and multiply-connected energy problems
Sign Up to like & getrecommendations! Published in 2019 at "Energy"
DOI: 10.1016/j.energy.2019.06.187
Abstract: A two-dimensional efficient and most accurate subparametric higher-order finite element technique are offered in this paper for some energy problems. It is used for the computation of eigenvalues over planar and multiply connected curved domains.… read more here.
Keywords: order finite; order; multiply connected; finite element ... See more keywords
A long-term numerical groundwater quality assessment model using a modified fourth-order finite difference method with Saulyev scheme
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Interdisciplinary Mathematics"
DOI: 10.1080/09720502.2020.1764696
Abstract: Abstract Mathematical models are required for long-term groundwater quality assessment around landfill sites. The long-term groundwater-quality prediction is used to report the environmental impact assessment of landfill site projects. In this research, a one- dimensional… read more here.
Keywords: difference; groundwater quality; fourth order; finite difference ... See more keywords
Real time time-dependent density functional theory using higher order finite-element methods
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.100.115148
Abstract: We present a computationally efficient approach to solve the time-dependent Kohn-Sham equations in real-time using higher-order finite-element spatial discretization, applicable to both pseudopotential and all-electron calculations. To this end, we develop an a priori mesh… read more here.
Keywords: order finite; time; order; finite element ... See more keywords
Higher order finite volume quantization conditions for two spinless particles
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review D"
DOI: 10.1103/physrevd.105.054517
Abstract: Lattice QCD calculations of scattering phaseshifts and resonance parameters in the two-body sector are becoming precision studies. Early calculations employed Lüscher’s formula for extracting these quantities at lowest order. As the calculations become more ambitious,… read more here.
Keywords: order finite; order; finite volume; higher order ... See more keywords
Cross-Gradient Joint Inversion of Gravity and Seismic Data With Triangular Grid Division by the Second-Order Finite-Difference Method
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Geoscience and Remote Sensing"
DOI: 10.1109/tgrs.2022.3198936
Abstract: Cross-gradient joint inversion of gravity and seismic data can more accurately provide the characteristics of subsurface density and velocity structure. The subsurface is usually divided into triangular grids to accurately simulate the undulating terrain and… read more here.
Keywords: cross gradient; order finite; inversion; method ... See more keywords
A fast direct algorithm for implementing a high-order finite element method on rectangles as applied to boundary value problems for the Poisson equation
Sign Up to like & getrecommendations! Published in 2017 at "Doklady Mathematics"
DOI: 10.1134/s1064562417020089
Abstract: Fast direct and inverse algorithms for expansion in terms of eigenvectors of one-dimensional eigenvalue problems for a high-order finite element method (FEM) are proposed based on the fast discrete Fourier transform. They generalize logarithmically optimal… read more here.
Keywords: finite element; order; element method; high order ... See more keywords
A Higher-Order Finite Difference Scheme for Singularly Perturbed Parabolic Problem
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Problems in Engineering"
DOI: 10.1155/2021/9941692
Abstract: In this paper, we deal with a singularly perturbed parabolic convection-diffusion problem. Shishkin mesh and a hybrid third-order finite difference scheme are adopted for the spatial discretization. Uniform mesh and the backward Euler scheme are… read more here.
Keywords: singularly perturbed; order; perturbed parabolic; scheme ... See more keywords