Journal ArticleDOI
A collocated method for the incompressible Navier-Stokes equations inspired by the Box scheme
Reetesh Ranjan,Carlos Pantano +1 more
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TLDR
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.Citations
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A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations
Artur Palha,Marc Gerritsma +1 more
TL;DR: This work presents a mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations that in the limit of vanishing dissipation exactly preserves mass, kinetic energy, enstrophy and total vorticity on unstructured triangular grids.
Journal ArticleDOI
A new higher-order finite volume method based on Moving Least Squares for the resolution of the incompressible Navier–Stokes equations on unstructured grids
TL;DR: A new higher-order (>2) accurate finite volume method for the resolution of the incompressible Navier-Stokes equations on unstructured grids is presented, based on the use of Moving Least Squares approximants.
Journal ArticleDOI
A multi-scale simulation method for high Reynolds number wall-bounded turbulent flows
Reetesh Ranjan,Suresh Menon +1 more
TL;DR: Gungor et al. as discussed by the authors presented a two-level large-eddy simulation method for wall-bounded turbulent flows, which is based on the hybrid two-layer largeeddy simulation.
Journal ArticleDOI
High order time integration and mesh adaptation with error control for incompressible Navier–Stokes and scalar transport resolution on dual grids
TL;DR: This contribution investigates the ability to extend such a strategy for scalar transport at relatively large Schmidt numbers using a finer level of refinement compared to the resolution of the hydrodynamic variables, while preserving space adaptation with error control.
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Mimetic spectral element method for Hamiltonian systems
Artur Palha,Marc Gerritsma +1 more
TL;DR: In this article, the authors apply the mimetic framework to the solution of a system of rst order ordinary dierential equations, and derive two classes of arbitrary order time integrators.
References
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Journal ArticleDOI
A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows
S.V. Patankar,D. B. Spalding +1 more
TL;DR: In this article, a general, numerical, marching procedure is presented for the calculation of the transport processes in three-dimensional flows characterised by the presence of one coordinate in which physical influences are exerted in only one direction.
Journal ArticleDOI
Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface
Francis H. Harlow,J. Eddie Welch +1 more
TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.
Book
Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms
TL;DR: This paper presents the results of an analysis of the "Stream Function-Vorticity-Pressure" Method for the Stokes Problem in Two Dimensions and its applications to Mixed Approximation and Homogeneous Stokes Equations.
Journal ArticleDOI
Numerical solution of the Navier-Stokes equations
TL;DR: In this paper, a finite-difference method for solving the time-dependent Navier-Stokes equations for an incompressible fluid is introduced, which is equally applicable to problems in two and three space dimensions.
Journal ArticleDOI
Turbulence statistics in fully developed channel flow at low reynolds number
TL;DR: In this article, a direct numerical simulation of a turbulent channel flow is performed, where the unsteady Navier-Stokes equations are solved numerically at a Reynolds number of 3300, based on the mean centerline velocity and channel half-width, with about 4 million grid points.
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