Wavelet-based adaptive unsteady Reynolds-averaged Navier–Stokes simulations of wall-bounded compressible turbulent flows

X Ge, OV Vasilyev, G De Stefano, M Yousuff Hussaini - AIAA Journal, 2020 - arc.aiaa.org
A wavelet-based adaptive approach, called wavelet-based adaptive unsteady Reynolds-
averaged Navier–Stokes (WA-URANS), is proposed to solve the URANS equations for the …

Comparison of ROW, ESDIRK, and BDF2 for unsteady flows with the high-order flux reconstruction formulation

L Wang, M Yu - Journal of Scientific Computing, 2020 - Springer
We conduct a comparative study of the Jacobian-free linearly implicit Rosenbrock–Wanner
(ROW) methods, the explicit first stage, singly diagonally implicit Runge–Kutta (ESDIRK) …

Noninvasive multigrid for semistructured grids

M Mayr, L Berger-Vergiat, P Ohm, RS Tuminaro - SIAM Journal on Scientific …, 2022 - SIAM
Multigrid solvers for semistructured meshes are developed. Such semistructured meshes
provide flexibility to address complex computational domains while still allowing most …

Evaluation of second-and high-order solvers in wall-resolved large-eddy simulation

F Jia, J Ims, ZJ Wang, J Kopriva, GM Laskowski - AIAA Journal, 2019 - arc.aiaa.org
In the context of wall-resolved industrial large-eddy simulation, a comparison is made
between a high-order flux reconstruction (FR)/correction procedure via reconstruction (CPR) …

Progress in computational fluid dynamics discretizations algorithms and solvers for aerodynamic flows

DJ Mavriplis - AIAA Journal, 2021 - arc.aiaa.org
An overview of developments in computational fluid dynamic discretizations and solution
techniques for aerodynamic applications over the past five-to-six-year time frame is given in …

An implicit block ilu smoother for preconditioning of newton–krylov solvers with application in high-order stabilized finite-element methods

BR Ahrabi, DJ Mavriplis - Computer methods in applied mechanics and …, 2020 - Elsevier
This paper presents an efficient and highly-parallelizable preconditioning technique for
Newton–Krylov solvers. The proposed method can be viewed as a generalization of the …

Analytical formulas for verification of aerodynamic force and moment computations

H Nishikawa - Journal of Computational Physics, 2022 - Elsevier
In this paper, we derive analytical formulas for the drag, lift, and moment coefficients of a
circular cylinder exposed to a fictitious flow defined by analytical functions in two and three …

A residual smoothing strategy for accelerating Newton method continuation

DJ Mavriplis - Computers & Fluids, 2021 - Elsevier
A technique for accelerating global convergence of pseudo-transient continuation Newton
methods is proposed based on residual smoothing. The technique is motivated by the …

A scalable solution strategy for high-order stabilized finite-element solvers using an implicit line preconditioner

BR Ahrabi, DJ Mavriplis - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
This paper presents a robust, efficient, and strongly scalable solution methodology for
simulation of complex turbulent flows on unstructured grids. The compressible Reynolds …

A comparative study of implicit Jacobian-free Rosenbrock-Wanner, ESDIRK and BDF methods for unsteady flow simulation with high-order flux reconstruction …

L Wang, M Yu - arXiv preprint arXiv:1904.04825, 2019 - arxiv.org
We conduct a comparative study of the Jacobian-free linearly implicit Rosenbrock-Wanner
(ROW) methods, the explicit first stage, singly diagonally implicit Runge-Kutta (ESDIRK) …