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Ordinary Differential Equations and Applied Dynamics Commons™
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- Air bladder dynamics (1)
- Computational fluid dynamics (1)
- Crank-Nicolson method (1)
- Differential equations (1)
- Flow structures (1)
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- Fluid Dynamics (1)
- Fluid flow (1)
- Fractional-step theta scheme (1)
- Mathematical modeling (1)
- Mathematical models (1)
- Military (1)
- Mini elements (1)
- Navier-Stokes equations (1)
- Pneumatic bladders (1)
- SID (1)
- System identification (1)
- Taylor-Hood method (1)
- Transportation (1)
- Vibration (1)
- Whole body vibration (1)
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Articles 1 - 2 of 2
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Mathematical Equations And System Identification Models For A Portable Pneumatic Bladder System Designed To Reduce Human Exposure To Whole Body Shock And Vibration, Ezzat Aziz Ayyad
UNLV Theses, Dissertations, Professional Papers, and Capstones
A mathematical representation is sought to model the behavior of a portable pneumatic foam bladder designed to mitigate the effects of human exposure to shock and whole body random vibration. Fluid Dynamics principles are used to derive the analytic differential equations used for the physical equations Model. Additionally, combination of Wiener and Hammerstein block oriented representation techniques have been selected to create system identification (SID) block oriented models. A number of algorithms have been iterated to obtain numerical solutions for the system of equations which was found to be coupled and non-linear, with no analytic closed form solution. The purpose …
Efficient Simulation Of Fluid Flow, David Hannasch, Monika Neda
Efficient Simulation Of Fluid Flow, David Hannasch, Monika Neda
Undergraduate Research Opportunities Program (UROP)
We are computationally investigating fluid flow models for physically correct predictions of flow structures. Models based on the idea of filtering the small scales/structures and also the Navier-Stokes equations which are the fundamental equations of fluid flow, are numerically solved via the continuous finite element method. Crank-Nicolson and fractional-step theta scheme are used for the discretization of the time derivative, while the Taylor-Hood and Mini elements are used for the discretization is space. The effectiveness of these numerical discretizations in time and space are examined by studying the accuracy of fluid characteristics, such as drag, lift and pressure drop.