首页|Verification and Validation of High-Resolution Inviscid and Viscous Conical Nozzle Flows

Verification and Validation of High-Resolution Inviscid and Viscous Conical Nozzle Flows

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Capturing elaborated flow structures and phenomena is required for well-solved numerical flows.The finite difference methods allow simple discretization of mesh and model equa-tions.However,they need simpler meshes,e.g.,rectangular.The inverse Lax-Wendroff(ILW)procedure can handle complex geometries for rectangular meshes.High-resolution and high-order methods can capture elaborated flow structures and phenomena.They also have strong mathematical and physical backgrounds,such as positivity-preserving,jump conditions,and wave propagation concepts.We perceive an effort toward direct numerical simulation,for instance,regarding weighted essentially non-oscillatory(WENO)schemes.Thus,we propose to solve a challenging engineering application without turbulence models.We aim to verify and validate recent high-resolution and high-order methods.To check the solver accuracy,we solved vortex and Couette flows.Then,we solved inviscid and viscous nozzle flows for a con-ical profile.We employed the finite difference method,positivity-preserving Lax-Friedrichs splitting,high-resolution viscous terms discretization,fifth-order multi-resolution WENO,ILW,and third-order strong stability preserving Runge-Kutta.We showed the solver is high-order and captured elaborated flow structures and phenomena.One can see oblique shocks in both nozzle flows.In the viscous flow,we also captured a free-shock separation,recircula-tion,entrainment region,Mach disk,and the diamond-shaped pattern of nozzle flows.

High-resolutionCompressibleNavier-StokesFree-shock separationNozzle flow

Luciano K.Araki、Rafael B.de R.Borges、Nicholas Dicati P.da Silva、Chi-Wang Shu

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Department of Mechanical Engineering,Federal University of Paraná,Curitiba 81531-980,Paraná,Brazil

Mathematics and Statistics Institute,Rio de Janeiro State University,Rio de Janeiro 20550-900,Rio de Janeiro,Brazil

Department of Mechanical Engineering,State University of Maringá,Maringá 87020-900,Paraná,Brazil

Division of Applied Mathematics,Brown University,Providence,RI 02912,USA

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AFOSR国家自然科学基金

FA9550-20-1-0055DMS-2010107

2024

10.1007/s42967-023-00271-z

应用数学与计算数学学报
上海大学

应用数学与计算数学学报

影响因子：0.165
ISSN：1006-6330
年,卷(期)：2024.6(1)
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