High-Order Schemes for DNS/LES and CAA on Curvilinear Dynamic Meshes
Abstract
In order to reduce the severe computational requirements of standard low-order schemes, higher-order formulations, as well as massively parallel approaches are being actively pursued. Due to their spectral-like resolution and ease of extension to multiple disciplines, high-order compact schemes represent an attractive choice for reducing dispersion, anisotropy and dissipation errors associated with spatial discretizations. Until recently, these schemes have mostly been used in conjunction with explicit time-integration methods to address complex flow physics on simple Cartesian geometries. Recent work performed at the Air Force Research Laboratory has extended the use of compact algorithms to more practical applications. This has been achieved through the development and improved treatment of the various critical elements comprising the overall numerical approach. Particular attention has been focused on enhanced high-order (up to 10th-order) low-pass filtering techniques, accurate and robust near-boundary formulations, proper metric evaluation, multi-domain implementation strategies, and sub-iterative implicit time-advancement methods. As an outcome of this sustained effort, the highly accurate compact algorithm has been successfully applied to efficiently solve a range of multi-physics phenomena described by the Euler, Navier-Stokes and MRD equations on 3-D curvilinear and dynamic grids using either explicit or implicit time integration approaches. These high-fidelity computational tools are currently being transitioned to the multidisciplinary simulation of complex phenomena relevant to Air Force systems, including: weapon-bay cavity acoustics, hypersonic flow control, high-angle-of-attack aerodynamics, and non-linear aeroelastic response. A brief description of the governing equations, the various elements of the numerical approach, as well as a few representative applications are included in this paper.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 2001
- Accession Number
- ADP013621
Entities
People
- D. Rizzetta
- Datta V. Gaitonde
- M. Visbal
Organizations
- Air Force Research Laboratory