[HTML][HTML] 航空航天CFD 物理模型和计算方法的述评与挑战
阎超, 屈峰, 赵雅甜, 于剑, 武从海, 张树海 - 空气动力学学报, 2020 - html.rhhz.net
CFD (computational fluid dynamics) 在航空航天中的应用发展迅速, 成效斐然,
成为飞行器研制和空气动力学研究的重要手段. 但另一方面, CFD 在物理模型和计算方法等核心 …
成为飞行器研制和空气动力学研究的重要手段. 但另一方面, CFD 在物理模型和计算方法等核心 …
On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows
In the literature on nonlinear projection-based model order reduction for computational fluid
dynamics problems, it is often claimed that due to modal truncation, a projection-based …
dynamics problems, it is often claimed that due to modal truncation, a projection-based …
Time-marching schemes for spatially high order accurate discretizations of the Euler and Navier–Stokes equations
Y Du, JA Ekaterinaris - Progress in Aerospace Sciences, 2022 - Elsevier
Computational fluid dynamics (CFD) methods used for the numerical solution of the Euler
and Navier–Stokes equations have been sufficiently matured and enable to perform high …
and Navier–Stokes equations have been sufficiently matured and enable to perform high …
[图书][B] Advanced reduced order methods and applications in computational fluid dynamics
Reduced order modeling is an important and fast-growing research field in computational
science and engineering, motivated by several reasons, of which we mention just a few …
science and engineering, motivated by several reasons, of which we mention just a few …
Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part I: the Linear Setting
Fully implicit Runge--Kutta (IRK) methods have many desirable properties as time
integration schemes in terms of accuracy and stability, but high-order IRK methods are not …
integration schemes in terms of accuracy and stability, but high-order IRK methods are not …
Stage-parallel fully implicit Runge–Kutta implementations with optimal multilevel preconditioners at the scaling limit
We present an implementation of a stage-parallel preconditioner for Radau IIA type fully
implicit Runge–Kutta methods, which approximates the inverse of the Runge–Kutta matrix …
implicit Runge–Kutta methods, which approximates the inverse of the Runge–Kutta matrix …
Evaluation of fully implicit Runge Kutta schemes for unsteady flow calculations
A Jameson - Journal of Scientific Computing, 2017 - Springer
This paper presents the formulation of a dual time stepping procedure to solve the equations
of fully implicit Runge–Kutta schemes. In particular the method is applied to Gauss and …
of fully implicit Runge–Kutta schemes. In particular the method is applied to Gauss and …
Monolithic multigrid for implicit Runge–Kutta discretizations of incompressible fluid flow
Most research on preconditioners for time-dependent PDEs has focused on implicit multi-
step or diagonally-implicit multi-stage temporal discretizations. In this paper, we consider …
step or diagonally-implicit multi-stage temporal discretizations. In this paper, we consider …
Analysis and entropy stability of the line-based discontinuous Galerkin method
W Pazner, PO Persson - Journal of Scientific Computing, 2019 - Springer
We develop a discretely entropy-stable line-based discontinuous Galerkin method for
hyperbolic conservation laws based on a flux differencing technique. By using standard …
hyperbolic conservation laws based on a flux differencing technique. By using standard …
Implicit positivity-preserving high-order discontinuous Galerkin methods for conservation laws
Positivity-preserving discontinuous Galerkin (DG) methods for solving hyperbolic
conservation laws have been extensively studied in the last several years, but nearly all the …
conservation laws have been extensively studied in the last several years, but nearly all the …