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On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
TLDR
A simple technique is adopted which ensures metric cancellation and thus ensures freestream preservation even on highly distorted curvilinear meshes, and metric cancellation is guaranteed regardless of the manner in which grid speeds are defined.
High‐order CFD methods: current status and perspective
After several years of planning, the 1st International Workshop on High‐Order CFD Methods was successfully held in Nashville, Tennessee, on January 7–8, 2012, just before the 50th Aerospace Sciences
High-Order Schemes for Navier-Stokes Equations: Algorithm and Implementation Into FDL3DI
Abstract : A spectrum of higher-order schemes is developed to solve the Navier-Stokes equations in finite-difference formulations. Pade type formulas of up to sixth order with a five-point stencil
Pade-Type Higher-Order Boundary Filters for the Navier-Stokes Equations
The use of procedures based on higher-order finite-difference formulas is extended to solve complex fluid-dynamic problems on highly curvilinear discretizations and with multidomain approaches. The
High-Order-Accurate Methods for Complex Unsteady Subsonic Flows
Several issues related to the application of very high-order schemes for the finite difference simulation of the full Navier-Stokes equations are investigated. The schemes utilize an implicit,
Numerical investigation of synthetic-jet flowfields
The flowflelds surrounding a synthetic-jet actuating device are investigated numerically by direct simulation. Solutions are obtained to the unsteady compressible Navier-Stokes equations for both the
Dynamics of revolving wings for various aspect ratios
Abstract High-fidelity, direct numerical simulations (DNSs) are conducted to examine the vortex structure and aerodynamic loading of unidirectionally revolving wings in quiescent fluid. Wings with
Large-Eddy Simulation on Curvilinear Grids Using Compact Differencing and Filtering Schemes
TLDR
This work investigates the application of a high-order finite difference method for compressible large-eddy simulations on stretched, curvilinear and dynamic meshes and finds the compact/filtering approach to be superior to standard second and fourth-order centered, as well as third-order upwind-biased approximations.
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