Journal ArticleDOI
Analysis of Flow of Viscous Fluids by the Finite-Element Method
TLDR
In this article, the authors present a general finite element models of compre- ol>e local approximations of the 'elocit~· field, the density, and the temperature.Abstract:
General tinite-element models of compre ol>e local approximations of the 'elocit~· field, the density. and the tempemture for compressible fluids and the ,'e1ocity. temperature. and prl'S'i,re ror incompressihlc tluids. Thcuries or local solenoidal approximl.tions and mixed tiniteclement models ror coml,n'ssihle film lIn' lIerh·ed. A numhl'r or cumpulallonal s..ht'mes are lIe"elopt'll ror Ihe uumerical solulion or hoth lransient and stl':IlI~'nOllllniformtlow prohlems illml\'illg illcol1lpressihlelIuids. Numericlll resulls ohtllinro rrom seH~rallest problel1lsllre gh'el1. It is Shllllil Ihat Ihe finile elel1lenl ml,thod ha" grelll llolenlial for U'ie ill tlo" prohll'I1I".and represenls II p,,"erful new 1001 for Ihe llllalysis of I'iwous flows. ..read more
Citations
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Journal ArticleDOI
A control volume finite-element method for two-dimensional fluid flow and heat transfer
B. R. Baliga,Suhas V. Patankar +1 more
TL;DR: In this paper, a general numerical method for two-dimensional incompressible flow and heat transfer in irregular-shaped domains is presented, where the calculation domain is first divided into six-node macroelements, and each macroelement is divided into four three-node triangular subelements.
Journal ArticleDOI
The solution of viscous incompressible jet and free-surface flows using finite-element methods
TL;DR: In this paper, a finite element program suitable for solving incompressible, viscous free surface problems in steady axisymmetric or plane flows is presented. But the authors do not consider the non-Newtonian flow, non-zero Reynolds numbers, and transient flow.
Journal ArticleDOI
Control Volume Finite-Element Method for Heat Transfer and Fluid Flow Using Colocated Variables— 1. Computational Procedure
Gerry E. Schneider,M. J. Raw +1 more
TL;DR: A novel computational procedure for the prediction of incompressible fluid flow using primitive variables permits resolution of two longstanding problems in computational fluid dynamics, namely accurate convection modeling and preclusion of pressure field decoupling.
Journal ArticleDOI
A control volume-based finite-element method for solving the navier-stokes equations using equal-order velocity-pressure interpolation
C. Prakash,Suhas V. Patankar +1 more
TL;DR: In this paper, a control volume-based finite element method for solving the Navier-Stokes equations using equal-order velocity-pressure interpolation is presented, which calculates velocity and pressure at all the grid points in the domain.
Journal ArticleDOI
Evaluation of fidap on some classical laminar and turbulent benchmarks
TL;DR: In this paper, the numerical accuracy of FIDAP is investigated by means of test computations on two-dimensional flows, and results for laminar flow in a wall-driven cavity and for both turbulent flows over a backward-facing step are presented in extensive tables and graphs and characterized in detail.
References
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Book
Boundary layer theory
TL;DR: The flow laws of the actual flows at high Reynolds numbers differ considerably from those of the laminar flows treated in the preceding part, denoted as turbulence as discussed by the authors, and the actual flow is very different from that of the Poiseuille flow.
Book
The finite element method in engineering science
TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
Journal ArticleDOI
Variational methods for the solution of problems of equilibrium and vibrations
TL;DR: The equivalence between boundary value problems of partial differential equations on the one hand and problems of the calculus of variations on the other hand has been a central point in analysis as mentioned in this paper.