Journal ArticleDOI
A Novel Semi-Explicit Spatially Fourth Order Accurate Projection Method for Unsteady Incompressible Viscous Flows
TLDR
In this paper, a compact higher order finite-difference based numerical solution technique to the primitive variable formulation of unsteady incompressible Navier Stokes equations (UINSE) on staggered grids is described.Abstract:
This article describes a simple and elegant compact higher order finite-difference based numerical solution technique to the primitive variable formulation of unsteady incompressible Navier Stokes equations (UINSE) on staggered grids. The method exploits the advantages of the D'yakanov ADI-like scheme and a non-iterative pressure correction based fractional step method. Spatial derivatives are discretized to fourth order accuracy and the time integration is realized through the Euler explicit method. The fast and efficient iterative solution to the discretized momentum and pressure Poisson equations is achieved using a variant of conjugate gradient method. Spatial accuracy and robustness of the solver are tested through its application to relevant benchmark problems.read more
Citations
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Journal ArticleDOI
Literature Survey of Numerical Heat Transfer (2000–2009): Part II
TL;DR: A comprehensive survey of the literature in the area of numerical heat transfer (NHT) published between 2000 and 2009 has been conducted by as mentioned in this paper, where the authors conducted a comprehensive survey.
Journal ArticleDOI
Improvements of Fast Fluid Dynamics for Simulating Air Flow in Buildings
TL;DR: In this article, the authors developed two-dimensional fast fluid dynamics (2-D FFD) into three-dimensional FFD (3-D FDFD) for real-time indoor air-flow simulations.
Journal ArticleDOI
A Novel Method to Deduce a High-Order Compact Difference Scheme for the Three-Dimensional Semilinear Convection-Diffusion Equation with Variable Coefficients
TL;DR: In this paper, a new family of fourth-order compact difference schemes for the three-dimensional semilinear convection-diffusion equation with variable coefficients is presented, combining with the Simpson integral formula and parabolic interpolation, four-order schemes are derived based on two different types of dual partitions.
Journal ArticleDOI
A collocated method for the incompressible Navier-Stokes equations inspired by the Box scheme
Reetesh Ranjan,Carlos Pantano +1 more
TL;DR: A new finite-difference numerical method to solve the incompressible Navier-Stokes equations using a collocated discretization in space on a logically Cartesian grid, which shows uniform order of accuracy, both in space and time.
High order finite difference schemes with good spectral resolution
TL;DR: The proposed schemes appear to be attractive alternatives to the standard Pade schemes for computations of the Navier?Stokes equations.
References
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Journal ArticleDOI
A test problem for outflow boundary conditions—flow over a backward-facing step
TL;DR: In this paper, a numerical solution for steady incompressible flow over a two-dimensional backward-facing step using a Galerkin-based finite element method was developed, and the Reynolds number for the simulations is 800.
Journal ArticleDOI
The 2D lid-driven cavity problem revisited
Charles-Henri Bruneau,Mazen Saad +1 more
TL;DR: In this article, numerical simulations of the 2D lid-driven cavity flow are performed for a wide range of Reynolds numbers and the first Hopf bifurcation is localized by a study of the linearized problem.
Journal ArticleDOI
High-Order Finite-Difference Schemes for Numerical Simulation of Hypersonic Boundary-Layer Transition
TL;DR: In this article, a high-order shock-fitting finite-difference method for the DNS of the stability and transition of hypersonic boundary layers over blunt bodies with strong bow shocks and with (or without) thermo-chemical nonequilibrium is presented.
Journal ArticleDOI
A robust high-order compact method for large eddy simulation
TL;DR: In this paper, a high-order compact method for large eddy simulation (LES) of compressible turbulent flows is presented, which is applicable to the conservative form of the governing equations, thereby allowing total energy conservation.
BookDOI
Numerical Solution of the Incompressible Navier-Stokes Equations
TL;DR: The incompressible Navier-Stokes equations are applied to vorticity-stream function equations, which deal with the role of curvature in the flow of fluid dynamics in two-dimensional systems.