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• W2083114554 abstract "The present study establishes an embedding finite element method appropriate for solving primitive variable forms of the Navier–Stokes equations and energy equation in a complex physical domain. The stationary solid obstacle in the flow domain is embedded in a non-uniform Cartesian grid and the governing equations are calculated through a finite element formulation. A compact interpolating scheme near the immersed boundaries is used to ensure the accuracy of the solution in the cut cells. We have developed a numerical algorithm based on the operator splitting technique, balance tensor diffusivity (BTD), Runge–Kutta time-stepping method, and a bi-conjugate gradient iterative solver. Three numerical examples are chosen to test the accuracy and flexibility of the proposed scheme. Simulation of flow past a stationary circular cylinder is conducted to validate the accuracy of the present method for solving heat transfer problems. Flow over circular cylinders in a tandem arrangement and a staggered tube bank with convective heat transfer is computed to demonstrate the model’s ability to handle complex geometries." @default.
• W2083114554 created "2016-06-24" @default.
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• W2083114554 date "2012-11-01" @default.
• W2083114554 modified "2023-10-17" @default.
• W2083114554 title "An embedding finite element analysis of heat transfer on the surface of circular cylinders in flow" @default.
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• W2083114554 doi "https://doi.org/10.1016/j.ijheatmasstransfer.2012.07.005" @default.
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