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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

We develop a discretely entropy-stable line-based discontinuous Galerkin method for
hyperbolic conservation laws based on a flux differencing technique. By using standard …

Positivity-preserving discontinuous Galerkin (DG) methods for solving hyperbolic
conservation laws have been extensively studied in the last several years, but nearly all the …