An adaptive implicit–explicit scheme for the DNS and LES of compressible flows on unstructured grids

Shoeybi, Mohammad; Svärd, Magnus; Ham, Frank; Moin, Parviz

doi:10.1016/j.jcp.2010.04.027

Cited by 40 publications

(21 citation statements)

References 47 publications

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“…About the same time Hou and Mahesh () presented a low Mach number compressible finite volume formulation. Since then, serval other compressible, and/or finite volume formulations have appeared in the literature (e.g., Shoeybi et al (), Reiss and Sesterhenn (), Coppola et al ()).…”

Section: Numerical Modelmentioning

confidence: 99%

Self‐Acceleration and Instability of Gravity Wave Packets: 2. Two‐Dimensional Packet Propagation, Instability Dynamics, and Transient Flow Responses

et al. 2020

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Results of two-dimensional and narrow three-dimensional (2-D and 2.5-D) simulations of a gravity wave (GW) packet localized in altitude and along its propagation direction employing a new, versatile compressible model are described. The simulations explore self-acceleration and instability dynamics in an idealized atmosphere at rest under mean solar conditions in a domain extending to an altitude of 260 km and 1,800 km horizontally without artificial dissipation. High resolution in the central 2.5-D domain enables the description of 3-D instability dynamics accounting for breaking, dissipation, and momentum deposition within the GW packet. 2-D results describe responses to localized self-acceleration effects, including generation of secondary GWs (SGWs) at larger scales able to propagate to much higher altitudes. 2.5-D results exhibit instability forms consistent with previous 3-D simulations of instability dynamics and cause SGW generation and propagation at smaller spatial scales to weaken significantly compared to the 2-D results. SGW responses at larger scales are driven primarily by GW/mean flow interactions arising at early stages of the self-acceleration dynamics prior to strong GW instabilities and dissipation. As a result, they exhibit similar responses in both the 2-D and 2.5-D simulations and readily propagate to high altitudes at large distances from the initial GW packet. A companion paper examines these dynamics for an initial GW packet localized in three dimensions and evolving in a representative 3-D tidal wind field.

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Section: Numerical Modelmentioning

confidence: 99%

Self‐Acceleration and Instability of Gravity Wave Packets: 2. Two‐Dimensional Packet Propagation, Instability Dynamics, and Transient Flow Responses

et al. 2020

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“…The main reason to use weak boundary procedures stems from the fact that together with summation-by-parts operators they lead to provable stable schemes. For application of this technique to finite difference methods, node-centered finite volume methods, spectral domain methods and various hybrid methods see [25,42,4,30,31,36,44,48,20,39,6,22,13,24], [32,47,45,46,14,41], [18,16,19,7] and [33,34,15,37,5] respectively. In this paper we will consider a new effect of using weak boundary procedures, namely that it in many cases (all that we tried) speeds up the convergence to steady-state.…”

Section: Introductionmentioning

confidence: 99%

Weak and strong wall boundary procedures and convergence to steady-state of the Navier–Stokes equations

Nordström

Eriksson

Eliasson

2012

Journal of Computational Physics

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“…IMEX-RK schemes have also been used in domain-based splittings, e.g., in [23] or based on eigenvalue estimates of the space discrete operators as in [24].…”

Section: Introductionmentioning

confidence: 99%

On Multirate GARK Schemes with Adaptive Micro Step Sizes for Fluid–Structure Interaction: Order Conditions and Preservation of the Geometric Conservation Law

Bremicker-Trübelhorn

Ortleb

2017

Aerospace

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Abstract:The application of partitioned schemes to fluid-structure interaction (FSI) allows the use of already developed solvers specifically designed for the efficient solution of the corresponding subproblems. In this work, we propose and describe a loosely coupled partitioned scheme based on the recently introduced generalized-structure additively partitioned Runge-Kutta (GARK) framework. The resulting scheme combines implicit-explicit (IMEX) and multirate approaches while coupling of the subproblems is realized both on the level of the discrete time steps and at the level of interior Runge-Kutta stages. Specifically, we allow for varying micro step sizes for the fluid subproblem and therefore extend the multirate GARK framework based on constant micro steps. Furthermore, we derive the order conditions for this extension allowing for coupled time integration schemes of up to third order and discuss specific choices of the Runge-Kutta coefficients complying with the geometric conservation law. Finally, numerical experiments are carried out for uniform flow on a moving grid as well as the classical FSI test case of a moving piston.

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An adaptive implicit–explicit scheme for the DNS and LES of compressible flows on unstructured grids

Cited by 40 publications

References 47 publications

Self‐Acceleration and Instability of Gravity Wave Packets: 2. Two‐Dimensional Packet Propagation, Instability Dynamics, and Transient Flow Responses

Self‐Acceleration and Instability of Gravity Wave Packets: 2. Two‐Dimensional Packet Propagation, Instability Dynamics, and Transient Flow Responses

Weak and strong wall boundary procedures and convergence to steady-state of the Navier–Stokes equations

On Multirate GARK Schemes with Adaptive Micro Step Sizes for Fluid–Structure Interaction: Order Conditions and Preservation of the Geometric Conservation Law

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