Gradient based reconstruction: Inviscid and viscous flux discretizations, shock capturing, and its application to single and multicomponent flows

نویسندگان

چکیده

This paper presents a gradient-based reconstruction approach for simulations of compressible single and multi-species Navier-Stokes equations. The novel feature the proposed algorithm is efficient via derivative sharing between inviscid viscous schemes: highly accurate explicit implicit gradients are used solution expressed in terms derivatives. higher-order velocity components reused to compute fluxes efficiency significantly improve gradient quality, as demonstrated by several viscous-flow test cases. schemes fourth-order carefully designed with high-frequency damping property, which has been identified critically important property stable compressible-flow shock waves [Chamarthi et al., JCP, 2022]. Shocks material discontinuities captured using monotonicity-preserving (MP) scheme, also improved reusing gradients. For cases, scheme linear second-order non-linear problems. Several numerical results obtained complex flows presented demonstrate accuracy robustness methodology.

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ژورنال

عنوان ژورنال: Computers & Fluids

سال: 2023

ISSN: ['0045-7930', '1879-0747']

DOI: https://doi.org/10.1016/j.compfluid.2022.105706