FDL3DI
High-Order Schemes for Navier-Stokes Equations: Algorithm and Implementation Into FDL3DI. 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 are developed for the difference scheme. Viscous terms are treated by successive applications of the first derivative operator. However, formulas are also derived for use in a mid-point interpolation-differentiation strategy. For numerical stability, up to tenth-order filtering schemes are developed. The spectral properties of the differentiation and filtering schemes are examined and guidelines are provided to choose proper filter coefficients. Special high-order formulas are obtained for differentiation and filtering in the vicinity of boundaries. The coefficients required for systematic implementation of Neumann-type boundary conditions are also presented. A brief description is provided of the manner in which the FDL3DI code is enhanced by coupling the approximately-factored procedure with these compact-difference based algorithms and by incorporating an explicit fourth-order Runge-Kutta scheme.
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References in zbMATH (referenced in 45 articles )
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Sorted by year (- Adler, Michael C.; Gaitonde, Datta V.: Dynamics of strong swept-shock/turbulent-boundary-layer interactions (2020)
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- Adler, Michael C.; Gonzalez, David R.; Stack, Cory M.; Gaitonde, Datta V.: Synthetic generation of equilibrium boundary layer turbulence from modeled statistics (2018)
- Hammer, Patrick R.; Visbal, Miguel R.; Naguib, Ahmed M.; Koochesfahani, Manoochehr M.: Lift on a steady 2-D symmetric airfoil in viscous uniform shear flow (2018)
- Kozyrakis, G. V.; Delis, A. I.; Kampanis, N. A.: A finite difference solver for incompressible Navier-Stokes flows in complex domains (2017)
- Rumpfkeil, Markus P.: Using steady flow analysis for noise predictions (2017)
- Barnes, C. J.; Visbal, M. R.; Huang, P. G.: On the effects of vertical offset and core structure in streamwise-oriented vortex-wing interactions (2016)
- Motheau, E.; Abraham, J.: A high-order numerical algorithm for DNS of low-Mach-number reactive flows with detailed chemistry and quasi-spectral accuracy (2016)
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- Hammad, D. A.; El-Azab, M. S.: A (2N) order compact finite difference method for solving the generalized regularized long wave (GRLW) equation (2015)
- Poggie, Jonathan; Bisek, Nicholas J.; Gosse, Ryan: Resolution effects in compressible, turbulent boundary layer simulations (2015)
- Schmitt, Christoph; Pitsch, Heinz: Reactive linearized equations of perturbed compressible variables for low-Mach number variable-density flows (2015)
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- Inasawa, Ayumu; Asai, Masahito; Nakano, Takuya: Sound generation in the flow behind a rectangular cylinder of various aspect ratios at low Mach numbers (2013)
- Rizzetta, D.; Visbal, M.: Plasma flow control simulations of a low-Reynolds number low-aspect-ratio wing (2012)
- Fico, Vincenzo; Emerson, David R.; Reese, Jason M.: A parallel compact-TVD method for compressible fluid dynamics employing shared and distributed-memory paradigms (2011)
- Kawai, Soshi; Terashima, Hiroshi: A high-resolution scheme for compressible multicomponent flows with shock waves (2011)
- Rizzetta, Donald P.; Visbal, Miguel R.: Exploration of plasma-based control for low-Reynolds number airfoil/gust interaction (2011)