A Compact-Difference Scheme for the Navier—Stokes Equations in Vorticity—Velocity Formulation

By H. Meitz, Hermann F. Fasel. 2000

227 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/0d67c11914236e6023d1ce6d28e344ccb6fbac40

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In Computational Mechanics

Citations in the corpus

A novel velocity-vorticity formulation of the Navier-Stokes equations with applications to boundary layer disturbance evolution (2001, background): “[39], Rempfer and Fasel [52, 53], Rist and Fasel [54], Wu, Wu, and Wu [61], Trujillo and Karniadakis [59], and Meitz and Fasel [49].”
Direct numerical simulation of complete transition to turbulence via oblique breakdown at Mach 3 (2011, methodology): “The outflow was treated with a buffer domain technique (Meitz & Fasel 2000) to avoid reflections of disturbance waves from the outflow boundary.”
A high-resolution code for turbulent boundary layers (2009, methodology): “Examples of the use of compact finite differences in DNS are [24,25], who do not use a fractional-step formulation.”
An implicit staggered‐grid finite‐difference method for seismic modelling (2009, unknown): “For the Vandermonde matrix A = [ajm ]n×n = [xmj ]n×n , its determinant equals∏ 1≤ j m≤n(xm − xj) (Meyer 2000).”
Direct numerical simulation of transition in a sharp cone boundary layer at Mach 6: fundamental breakdown (2015, methodology): “For simulations of the nonlinear breakdown a buffer domain technique is applied, where finite-amplitude disturbances are ramped down to zero at the outflow (see Meitz & Fasel 2000).”
Derivation of high-order compact finite difference schemes for non-uniform grid using polynomial interpolation (2005, background): “Introduction Compact high-order finite difference schemes which consider as unknowns at each discretization point not only the value of the function but also those of its first or higher derivatives have been extensively studied and widely used to compute problems involving incompressible, compressi”
NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations (2020, methodology): “We also propose NSFnets for the VV formulation of the Navier-Stokes equations, which is an alternative to the VP form in simulating incompressible ﬂows; the equivalence of VP and VV formulations was proved in [28, 29].”