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Low-Storage Hybrid MacCormack-type Schemes with High Order Temporal Accuracy for Computational Aeroacoustics

Azim, Riasat
http://rave.ohiolink.edu/etdc/view?acc_num=toledo1515720270119389

Abstract Details

2017, Master of Science, University of Toledo, Mechanical Engineering.
A new family of 'hybrid' MacCormack-type (HMC) schemes in 2N-Storage format has recently been introduced to obtain low-cost inherent arti cial dissipation.The scheme uses the strength of original MacCormack-type scheme incorporated to 2N-storage Low Dissipation and Dispersion Runge-Kutta (LDDRK) 56 time marching scheme. In the previous, MacCormack-type scheme in 3N-storage - known as 'hybrid MacCormack-type scheme' - was presented using biased spatial differencing in two stages and non-dissipative central differencing in the remaining stages of the time marching scheme. Hence, high order temporal accuracy is obtained limiting the boundary condition issues of MacCormack-type scheme to only two stages of time marching. In this work, a new family of HMC scheme in 2N-storage is presented with the least memory requirement and the easy way to code including all the benifi ts obtained from the previous 3N-storage scheme. The resulting low-storage HMC schemes are validated on several one dimensional linear and nonlinear CAA benchmark problems.
Ray Hixon, PhD (Committee Chair)
Sorin Cioc, PhD (Committee Member)
Reza Rizvi, PhD (Committee Member)
110 p.
Mechanical Engineering
Dissipation; Dispersion; 2N-Storage Runge Kutta time marching; Hybrid MacCormack-type scheme; Aeroacoustics

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Citations

  • Azim, R. (2017). Low-Storage Hybrid MacCormack-type Schemes with High Order Temporal Accuracy for Computational Aeroacoustics [Master's thesis, University of Toledo]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1515720270119389

    APA Style (7th edition)

  • Azim, Riasat. Low-Storage Hybrid MacCormack-type Schemes with High Order Temporal Accuracy for Computational Aeroacoustics. 2017. University of Toledo, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=toledo1515720270119389.

    MLA Style (8th edition)

  • Azim, Riasat. "Low-Storage Hybrid MacCormack-type Schemes with High Order Temporal Accuracy for Computational Aeroacoustics." Master's thesis, University of Toledo, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1515720270119389

    Chicago Manual of Style (17th edition)

toledo1515720270119389
414
© 2017, all rights reserved.
This open access ETD is published by University of Toledo and OhioLINK.