There has been a growing interest in higher-order spatial discretization methods due to their potential for delivering high accuracy at reasonable computational overhead for the Direct Numerical Simulation (DNS) of vortex-dominated flows. Many of the existing high-order schemes for unstructured grids use more degrees-of-freedom (DOF) in each cell to achieve high-order accuracy. This paper formulates and demonstrates a high-order correction method for unstructured grids. Using this approach, there is no increase in DOF within each cell. By adding higher order correction terms, higher order accuracy can be achieved. The present technique is innovative in that it can be readily added to existing lower order solvers, it can achieve very high-order accuracy, it is stable, and it can make use of either central or upwind schemes. Many examples are presented and used to demonstrate the high-order accuracy.
- Fluids Engineering Division
Development of High-Order Scheme in Unstructured Mesh for Direct Numerical Simulations
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Yang, HQ, Chen, ZJ, & Dudley, JG. "Development of High-Order Scheme in Unstructured Mesh for Direct Numerical Simulations." Proceedings of the ASME 2013 Fluids Engineering Division Summer Meeting. Volume 1A, Symposia: Advances in Fluids Engineering Education; Advances in Numerical Modeling for Turbomachinery Flow Optimization; Applications in CFD; Bio-Inspired Fluid Mechanics; CFD Verification and Validation; Development and Applications of Immersed Boundary Methods; DNS, LES, and Hybrid RANS/LES Methods. Incline Village, Nevada, USA. July 7–11, 2013. V01AT09A002. ASME. https://doi.org/10.1115/FEDSM2013-16386
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