Mechanical Engineering Faculty Research
Title
High-Accuracy Large-Step Explicit Runge–Kutta (HALE-RK) Schemes for Computational Aeroacoustics
Document Type
Article
Publication Date
Summer 6-2009
Abstract
In many realistic calculations, the computational grid spacing required to resolve the mean flow gradients is much smaller than the grid spacing required to resolve the unsteady propagating waves of interest. Because of this, the high temporal resolution provided by existing optimized time marching schemes can be excessive due to the small time step required for stability in regions of clustered grid. In this work, explicit fourth-order accurate Runge–Kutta time marching schemes are optimized to increase the inviscid stability limit rather than the accuracy at large time steps. Single and multiple-step optimized schemes are developed and analyzed. The resulting schemes are validated on several realistic benchmark problems.
Publication Title
Jounal of Computational Physics
Volume
228
Issue
10
First Page
3837
Last Page
3850
Recommended Citation
Allampalli, Vasanth; Hixon, Ray; Nallasamy, Raj; and Sawyer, Scott, "High-Accuracy Large-Step Explicit Runge–Kutta (HALE-RK) Schemes for Computational Aeroacoustics" (2009). Mechanical Engineering Faculty Research. 840.
https://ideaexchange.uakron.edu/mechanical_ideas/840