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A Heat Transfer Algorithm with a Least Squares Temperature Gradient Calculation for Particle-based Numerical Simulations

並列摘要


Fluid-structure-interaction (FSI) is a very important consideration in the modeling of fluid flow over and through contemporary aircraft and aerospace vehicles. The numerical code used in this research utilizes a Lagrangian particle-based solver in conjunction with an Eulerian meshbased solver (known as the Material Point Method (MPM)) to gain the advantages that both solvers offer to reduce computational overhead. Heat transfer between a fluid and a solid is an important FSI consideration, especially for high velocity (supersonic and hypersonic) aircraft and aerospace vehicles. A least squares gradient calculating technique was utilized combined with Fourier's Law of Conduction to incorporate heat transfer into the MPM algorithm. Application of the heat transfer algorithm to hypersonic single ramp and double cone flows was investigated. The MPM results were compared to experimental and numerical data from independent sources and observed trends agreed well with the results from these sources.

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