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Application of generalized differential quadrature to solve two-dimensional incompressible navier-stokes equations
Chang Shu,Bryan E. Richards +1 more
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In this paper, a global method of generalised differential quadrature is applied to solve the two-dimensional incompressible Navier-Stokes equations in the vorticity-stream-function formulation.Abstract:
A global method of generalised differential quadrature is applied to solve the two-dimensional incompressible Navier-Stokes equations in the vorticity-stream-function formulation. Numerical results for the flow past a circular cylinder were obtained using just a few grid points. A good agreement is found with the experimental data.read more
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Differential Quadrature Method in Computational Mechanics: A Review
Charles W. Bert,Moinuddin Malik +1 more
TL;DR: The differential quadrature method (DQM) as discussed by the authors is a numerical solution technique for initial and/or boundary problems, which was developed by the late Richard Bellman and his associates in the early 70s.
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Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations
TL;DR: In this article, a local radial basis function-based differential quadrature (LRQ) method is proposed, which discretizes any derivative at a knot by a weighted linear sum of functional values at its neighbouring knots, which may be distributed randomly.
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Strong Formulation Finite Element Method Based on Differential Quadrature: A Survey
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Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns
TL;DR: In this paper, the authors compared differential quadrature (DQ) and harmonic DQ (HDQ) methods for buckling, bending, and free vibration analysis of thin isotropic plates and columns.
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Bending analysis of microtubules using nonlocal Euler–Bernoulli beam theory
Ömer Civalek,Çiğdem Demir +1 more
TL;DR: In this paper, an elastic beam model using nonlocal elasticity theory is developed for the bending analysis of microtubules (MTs) based on the Euler-Bernoulli beam theory.
References
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Journal ArticleDOI
Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations
TL;DR: In this article, the authors present a direct technique which can be applied in a large number of cases to circumvent the difficulties of programming complex algorithms for the computer, as well as excessive use of storage and computer time.
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Experiments on the flow past a circular cylinder at low Reynolds numbers
TL;DR: In this article, the authors describe measurements of the drag on circular cylinders, made by observing the bending of quartz fibres, in a stream with the Reynolds number range 0·5-100.
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Numerical solutions for steady flow past a circular cylinder at Reynolds numbers up to 100
S. C. R. Dennis,Gau-Zu Chang +1 more
TL;DR: In this article, a finite-difference solution of the equations of motion for steady incompressible flow around a circular cylinder has been obtained for a range of Reynolds numbers from R = 5 to R = 100, where the wake length increases linearly with R over the whole range from the value, just below R = 7, at which it first appears.
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Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. Part 2. Unsteady flow
TL;DR: In this article, a visualization method is used to obtain the main features of the hydrodynamic field for flow past a circular cylinder moving at a uniform speed in a direction perpendicular to its generating lines in a tank filled with a viscous liquid.
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A modified finite element method for solving the time‐dependent, incompressible Navier‐Stokes equations. Part 1: Theory
TL;DR: In this article, the Galerkin finite element method and the simplest appropriate isoparametric element for modelling the Navier-Stokes equations are modified in two ways in the interest of cost-effectiveness: the mass matrix is lumped and all coefficient matrices are generated via l-point quadrature.