Multiple Scale Reproducing Kernel Methods for Compressible Flow-Structure Systems.
Final rept. 1 Apr 95-30 Jun 96,
NORTHWESTERN UNIV EVANSTON IL DEPT OF MECHANICAL ENGINEERING
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Multiple temporal and spatial scale methods were developed and employed for the study of structural dynamics system in which the response is characterized by multiple-spatial and multiple-time scales. The following fundamental research topics were addressed 1 development of multiple scale Reproducing Kernel Particle Methods, which can provide accurate mesh free interpolation functions and possess superior convergence rate for compressible flow-structure interaction problems 2 incorporation of multiresolution analysis concepts into RKPM so that the response can be separated into multiple frequencywave number bands for a better representation of the computed physics 3 incorporation of 1 and 2 via a 2D pilot computer code and 4 application of the multiple-scale computer code to study nonlinear compressible flow and large deformation structural phenomena.
- Numerical Mathematics
- Fluid Mechanics