USA flag logo/image

An Official Website of the United States Government

High-order modeling of applied multi-physics phenomena

Award Information

Department of Defense
Air Force
Award ID:
Program Year/Program:
2010 / STTR
Agency Tracking Number:
Solicitation Year:
Solicitation Topic Code:
AF 08T023
Solicitation Number:
Small Business Information
Woman-Owned: No
Minority-Owned: No
HUBZone-Owned: No
Phase 2
Fiscal Year: 2010
Title: High-order modeling of applied multi-physics phenomena
Agency / Branch: DOD / USAF
Contract: FA9550-10-C-0051
Award Amount: $743,569.00


A new physics-based simulation capability will be developed based on high-order discretizations in both space and time for application to practical engineering problems involving complex physical phenomena and complicated geometries. The goal is to develop a tool which can accurately handle simulations of various important physical problems relevant to the aerospace industry and the DoD, including computational fluid dynamics, aeroacoustics, and electromagnetics, both in analysis mode, and for design optimization purposes. The approach will rely on high-order (up to 6th order) Discontinuous Galerkin discretizations in space and second-order backwards difference as well as higher-order (up to 5th order) implicit Runge-Kutta temporal discretizations. Efficient solution techniques will be employed in order to make these methods competitive with current simulation tools in terms of required computational resources. Adaptive methods based on both mesh (h)-refinement and discretization order (p)-enrichment will be incorporated in order to achieve high accuracy at optimal cost. The favorable asymptotic properties of these methods, combined with the use of unstructured meshes, will enable accurate simulation of complex phenomena with wide ranges of scales from first principles. BENEFIT: The use of high-order methods will deliver much higher accuracy for complex multiscale problems while using coarser underlying grids. This in turn will reduce discretization errors to manageable levels, providing superior reliability in numerical analysis and optimization problems, while at the same time relieving the grid generation bottleneck for high resolution calculations, and enhancing scalability on massively parallel multi-core architectures. Commercial applications exist in computational fluid dynamics, particularly for difficult problems involving wakes or vortical flows such as rotorcraft and high incidence maneuvering aircraft, as well as other areas such as aeroacoustics and electromagnetics.

Principal Investigator:

Dimitri Mavriplis

Business Contact:

Dimitri Mavriplis
Member LLC
Small Business Information at Submission:

Scientific Simulations LLC
1582 Inca Laramie, WY 82072

EIN/Tax ID: 204931024
Number of Employees:
Woman-Owned: No
Minority-Owned: No
HUBZone-Owned: No
Research Institution Information:
University of Wyoming
Research Office, Dept 3355
1000 E University Ave
Laramie, WY 82071
Contact: Dorothy Yates
Contact Phone: 3077665320