Finite element solution for advection and natural convection flows
TLDR
In this paper, an equal order velocity-pressure finite element procedure is presented for the calculation of 2D viscous, incompressible flows of a recirculating nature, where velocity and pressure are uncoupled and the equations are solved one after the other.About:
This article is published in Computers & Fluids.The article was published on 1988-09-01 and is currently open access. It has received 39 citations till now. The article focuses on the topics: Natural convection & Advection.read more
Citations
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A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme
O. C. Zienkiewicz,Ramon Codina +1 more
TL;DR: A novel algorithm is outlined which can be used for the solution of both compressible and incompressible Navier-Stokes or Euler equations and introduces a rational form of balancing dissipation.
Journal ArticleDOI
Direct numerical simulation of three-dimensional flow past a yawed circular cylinder of infinite length
TL;DR: In this article, the authors used Petrov-Galerkin finite element method to solve the Navier-Stokes equations of flow past a stationary circular cylinder at yaw angles (α) in the range of 0-60°.
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A fractional four-step finite element formulation of the unsteady incompressible Navier-Stokes equations using SUPG and linear equal-order element methods
TL;DR: In this article, a numerical algorithm using equal-order linear finite element and fractional four-step methods is presented for the analyses of incompressible fluid flow and heat transfer problems, where the SUPG (streamline upwind Petrov-Galerkin) method is used for the weighted formulation of Navier-Stokes equations.
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Semi‐implicit and explicit finite element schemes for coupled fluid/thermal problems
TL;DR: In this paper, a comparative analysis of two purely explicit and one semi-implicit finite element methods used for incompressible flow computation is presented, where the fundamental concepts and characteristics of the formulations and the solution methodology used are described in technical detail.
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Numerical simulation of laminar forced convection heat transfer of Al2O3–water nanofluid in a pipe with return bend
Jongwook Choi,Yuwen Zhang +1 more
TL;DR: In this article, the average Nusselt number in the return bend appears higher than that in the inlet and outlet pipes due to the secondary flows, and the pressure drop in the pipe largely increases with the increment of nanoparticle volume concentration.
References
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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.
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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.
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High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
U Ghia,K.N Ghia,C. T. Shin +2 more
TL;DR: The vorticity-stream function formulation of the two-dimensional incompressible NavierStokes equations is used to study the effectiveness of the coupled strongly implicit multigrid (CSI-MG) method in the determination of high-Re fine-mesh flow solutions.
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Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations
John Kim,Parviz Moin +1 more
TL;DR: In this paper, a numerical method for computing three-dimensional, time-dependent incompressible flows is presented based on a fractional-step, or time-splitting, scheme in conjunction with the approximate-factorization technique.
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Experimental and Theoretical Investigation of Backward-Facing Step Flow
TL;DR: In this paper, the velocity distribution and reattachment length of a single backward-facing step mounted in a two-dimensional channel were measured using laser-Doppler measurements.
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High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
U Ghia,K.N Ghia,C. T. Shin +2 more