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Applied Mathematics Commons

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Full-Text Articles in Applied Mathematics

On High-Performance Parallel Decimal Fixed-Point Multiplier Designs, Ming Zhu Apr 2013

On High-Performance Parallel Decimal Fixed-Point Multiplier Designs, Ming Zhu

College of Engineering: Graduate Celebration Programs

Decimal computations are required in finance, and etc.

  • Precise representation for decimals (E.g. 0.2, 0.7… )
  • Performance Requirements (Software simulations are very slow)


Efficient Simulation Of Fluid Flow, David Hannasch, Monika Neda Aug 2009

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.