A Block–Interface Approach for High–Order Finite–Difference Simulations of Compressible Flows
The application of the high-order accurate schemes with multi-block domains is essential in problems with complex geometries. Primarily, accurate block-interface treatment is found to be of significant importance for precisely capturing discontinuities in such complex configurations. In the current...
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Published in | Journal of Applied Fluid Mechanics Vol. 14; no. 2; pp. 345 - 359 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Isfahan University of Technology
2021
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Subjects | |
Online Access | Get full text |
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Summary: | The application of the high-order accurate schemes with multi-block domains is essential in problems with complex geometries. Primarily, accurate block-interface treatment is found to be of significant importance for precisely capturing discontinuities in such complex configurations. In the current study, a conservative and accurate multi-block strategy is proposed and implemented for a high-order compact finite-difference solver. For numerical discretization, the Beam-Warming linearization scheme is used and further extended for three-dimensional problems. Moreover, the fourth-order compact finite-difference scheme is employed for spatial discretization. The capability of the high-order multi-block approach is then evaluated for the onedimensional flow inside a Shubin nozzle, two-dimensional flow over a circular bump, and three-dimensional flow around a NACA 0012 airfoil. The results showed a reasonable agreement with the available exact solutions and simulation results in the literature. Further, the proposed block-interface treatment performed quite well in capturing shock waves, even in situations that the location of the shock coincides with block interfaces. |
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ISSN: | 1735-3572 |
DOI: | 10.47176/jafm.14.02.31584 |