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Numerical Simulations for the Flow of Rocket Exhaust Through a Granular Medium
| Title: | Numerical Simulations for the Flow of Rocket Exhaust Through a Granular Medium. |
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| Name(s): |
Kraakmo, Kristina, Author Moore, Brian, Committee Chair Brennan, Joseph, Committee Member Rollins, David, Committee Member , Committee Member University of Central Florida, Degree Grantor |
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| Type of Resource: | text | |
| Date Issued: | 2013 | |
| Publisher: | University of Central Florida | |
| Language(s): | English | |
| Abstract/Description: | Physical lab experiments have shown that the pressure caused by an impinging jet on a granular bed has the potential to form craters. This poses a danger to landing success and nearby spacecraft for future rocket missions. Current numerical simulations for this process do not accurately reproduce experimental results. Our goal is to produce improved simulations to more accurately and efficiently model the changes in pressure as gas flows through a porous medium. A two-dimensional model in space known as the nonlinear Porous Medium Equation as it is derived from Darcy's law is used. An Alternating-Direction Implicit (ADI) temporal scheme is presented and implemented which reduces our multidimensional problem into a series of one-dimensional problems. We take advantage of explicit approximations for the nonlinear terms using extrapolation formulas derived from Taylor-series, which increases efficiency when compared to other common methods. We couple our ADI temporal scheme with different spatial discretizations including a second-order Finite Difference (FD) method, a fourth-order Orthogonal Spline Collocation (OSC) method, and an Nth-order Chebyshev Spectral method. Accuracy and runtime are compared among the three methods for comparison in a linear analogue of our problem. We see the best results for accuracy when using an ADI-Spectral method in the linear case, but discuss possibilities for increased efficiency using an ADI-OSC scheme. Nonlinear results are presented using the ADI-Spectral method and the ADI-FD method. | |
| Identifier: | CFE0005017 (IID), ucf:49998 (fedora) | |
| Note(s): |
2013-12-01 M.S. Sciences, Mathematics Masters This record was generated from author submitted information. |
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| Subject(s): | Numerical Methods -- Darcy flow -- porous media -- crater formation -- domain decomposition -- alternating direction implicit -- piecewise Hermite bicubics | |
| Persistent Link to This Record: | http://purl.flvc.org/ucf/fd/CFE0005017 | |
| Restrictions on Access: | campus 2016-12-15 | |
| Host Institution: | UCF |
