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Fourth order Multi-Time-Stepping Adams-Bashforth (MTSAB) scheme for NASA Glenn Research Center’s Broadband Aeroacoustic Stator Simulation (BASS) Code

Allampalli, Vasanth
http://rave.ohiolink.edu/etdc/view?acc_num=toledo1270739741

Abstract Details

2010, Doctor of Philosophy, University of Toledo, Mechanical Engineering.
By using a Multi-Time-Stepping Adams-Bashforth (MTSAB) scheme, different regions of the computational grid can march with different time steps based on their local stable time steps and on local minimum length and time scales. This can save computational time for problems with large range of length and time scales. In this work, a fourth order, automated MTSAB scheme was developed for NASA Glenn Research Center’s Broadband Aeroacoustic Stator Simulation Code (BASS) code. BASS code solves the Navier-Stokes equations on structured multi-block grids. The automated MTSAB scheme, during the run assigns time steps to grid blocks, based on local stability and accuracy. The scheme automatically changes the time steps during the run as required. In this work, two automatic block cutting algorithms were also developed. The first block cutting algorithm cuts the existing grid blocks during the run, to minimize the number of points at the smallest time steps. The second block cutting algorithm cuts the grid blocks to maximize the parallel efficiency of the scheme. This scheme was tested on CAA workshop problems, highly nonlinear flows (Transonic flows) with grid motion, and viscous flow cases. Results from these cases and the speed gains from using the MTSAB scheme are presented.
Ray Hixon, PhD (Advisor)
A.A Afjeh, PhD (Committee Member)
Ng Tsun-Ming (Terry), PhD (Committee Member)
Cyril Masiulaniec, PhD (Committee Member)
Ashok Kumar, PhD (Committee Member)
173 p.
Mechanical Engineering
Multi-Time Step; Adams-Bashforth scheme; BASS code; Fourth order

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Citations

  • Allampalli, V. (2010). Fourth order Multi-Time-Stepping Adams-Bashforth (MTSAB) scheme for NASA Glenn Research Center’s Broadband Aeroacoustic Stator Simulation (BASS) Code [Doctoral dissertation, University of Toledo]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1270739741

    APA Style (7th edition)

  • Allampalli, Vasanth. Fourth order Multi-Time-Stepping Adams-Bashforth (MTSAB) scheme for NASA Glenn Research Center’s Broadband Aeroacoustic Stator Simulation (BASS) Code. 2010. University of Toledo, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=toledo1270739741.

    MLA Style (8th edition)

  • Allampalli, Vasanth. "Fourth order Multi-Time-Stepping Adams-Bashforth (MTSAB) scheme for NASA Glenn Research Center’s Broadband Aeroacoustic Stator Simulation (BASS) Code." Doctoral dissertation, University of Toledo, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1270739741

    Chicago Manual of Style (17th edition)

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This open access ETD is published by University of Toledo and OhioLINK.