Implicit Higher Order Temporal Differencing for Aeroacoustic and CFD Applications

Award Information
Agency: National Aeronautics and Space Administration
Branch: N/A
Contract: NNX11CG69P
Agency Tracking Number: 104903
Amount: $99,804.00
Phase: Phase I
Program: SBIR
Awards Year: 2011
Solicitation Year: 2010
Solicitation Topic Code: A2.03
Solicitation Number: N/A
Small Business Information
CFD Research Corporation
AL, Huntsville, AL, 35805-1944
DUNS: 185169620
HUBZone Owned: N
Woman Owned: Y
Socially and Economically Disadvantaged: N
Principal Investigator
 Paul Dionne
 Principal Investigator
 (256) 726-4800
Business Contact
 Silvia Harvey
Title: Business Official
Phone: (256) 726-4858
Research Institution
This proposal presents a stand-alone implicit high order temporal differencing solver concept that will interface with research and commercial numerical analysis codes to provide unlimited temporal accuracy. While the computational fluid dynamics (CFD) market has mature products that solve a large portion of problems faced by practicing engineers, these tools are often inadequate for fast transient, multi-scale numerical problems such as highly resolved turbulence, vortex shedding and combustion instability where rapid, small scale local phenomena can be overwhelmed by numerical dissipation. Many research and commercial solvers perform sufficient spatial resolution, but use insufficient explicit or low order implicit temporal resolution. Higher order explicit temporal schemes are not always feasible when modeling turbulence, can be severely limited by the time step size, and are less efficient than even low-order implicit methods. In the proposed Phase I effort, a previously developed high order implicit time integration formulation, tested up to 11th order accuracy, will be extracted from an existing solver and interfaced with an independent finite-volume solver to prove the feasibility of providing decoupled time integration for existing numerical codes. In Phase II, the time integration formulation will be implemented in a software framework and tested with readily available, popular numerical codes

* information listed above is at the time of submission.

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