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Showing 1 to 20 of 54 for “"continuity equation"”.
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An implicit numerical solution of the turbulent three-dimensional incompressible boundary-layer equations
… incompressible turbulent boundary-layer equations was developed using a Crank-Nicholson implicit finite-difference technique, with the turbulent stress terms modeled with an eddy-viscosity model obtained from mixing length theory. The method was applied to two three-dimensional flow …
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An implicit numerical solution for the laminar and turbulent flow of an incompressible fluid along the axis of a 90-degree corner
A method of solving the equations for the three–dimensional, incompressible laminar and turbulent flow along the intersection of two planes at ninety-degrees has been developed. The Alternating Direction Implicit (ADI) finite-difference method was applied for both types of flow. The turbulent …
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Η ΔΥΝΑΜΙΚΗ ΤΗΣ ΚΙΝΗΣΗΣ ΚΑΙ ΤΗΣ ΣΥΜΒΟΛΗΣ ΚΥΚΛΟΦΟΡΙΑΚΩΝ ΡΕΥΜΑΤΩΝ. ΜΑΚΡΟΣΚΟΠΙΚΗ ΜΑΘΗΜΑΤΙΚΗ ΘΕΩΡΗΣΗ
… AND DEVELOPS THE THEORETICAL SOLUTION OF THE CONTINUITY EQUATION FOR THE CONTINUOUS AND INTERRUPTED TRAFFIC FLOW. THE METHODOLOGY OF THIS MACROSCOPIC SOLUTION, IS THE BASIS FOR THE DEVELOPMENT OF REAL TIME-TRAFFIC RESPONSIVE, TRAFFIC FLOW MODELS. FURTHERMORE BASED ON THE ABOVE MODELS, REAL- …
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Pressure Poisson Method for the Incompressible Navier-Stokes Equations Using Galerkin Finite Elements
<p>In this thesis we examine the Navier-Stokes equations (NSE) with the continuity equation replaced by a pressure Poisson equation (PPE). Appropriate boundary conditions are developed for the PPE, which allow for a fully decoupled numerical scheme to recover the pressure. The variational form of …
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Sensitivity of flood-routing models to variations of momentum equation coefficients and terms
The Saint-Venant equations consist of a continuity equation and a well-known dynamic wave equation. The dynamic wave equation is actually a simplification from a more complicated exact momentum equation by assuming some coefficients as constants and neglecting some terms involved in the exact …
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Solving transport-density equation with diffusion using the first integral method and the generalized hyperbolic functions method
… nonlinear partial differential transport-density equation with diffusion traffic flow model. Basically, the first integral method (FIM) and the generalized hyperbolic functions method (GHFM) are employed to solve the proposed model and to give compelling evidence that regularization of the …
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A two-dimensional numerical model of the high electron mobility transistor
… by solving Schrodinger's and Poisson's equations self-consistently. The Boltzmann transport equation in the form of a current continuity equation and an energy transport equation is solved to obtain the transient transport behavior. Transport of carriers takes place in two layers in the …
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Some optimal visiting problems: from a single player to a mean-field type model
… In particular, we investigate a single continuity equation with possible sinks and sources and the field possibly depending on the mass of the agents. The same problem is also studied on a network framework. More precisely, we study a mean-field game model by proving the existence of a …
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CONFIGURATIONAL FORCES IN STRUCTURAL AND CONTINUUM OPTIMISATION
… spatial and material continuum mechanic Equations will be developed in hyperelastic, hyperelastodynamic and hyperelastoplastic settings. A summary of the four main parts is as follows. The first part begins with structural optimisation in hyperelastic setting. After introducing the …
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Compaction and Cure of Resin Film Infusion Prepregs
… is studied. A nonlinear partial differential equation describing the spatial and temporal variation of the fiber volume fraction combining the continuity equation, Darcy's Law, and mat compressibility has been derived and solved numerically. Resin is assumed to be incompressible and inertial …
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Compressible turbulence in a high-speed high Reynolds number mixing layer
… the Reynolds averaged form of the Navier-Stokes equations. where the effects of compressibility are manifested through "apparent mass" terms (i.e. p′u′<sub>i</sub>). These terms appear in all of the Reynolds averaged Navier-Stokes equations (continuity, momentum, and energy). A new turbulence …
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Nonuniqueness of Laws on State and Path Space: Flow Selections and Superposition for Fokker-Planck-Kolmogorov Equations and Convex Integration for Stochastic Hypodissipative Navier-Stokes Equations
… independent of each other, although the equations studied in the first two parts overlap to some degree. In Parts I and II, we study parabolic Fokker--Planck--Kolmogorov equations (FPK equations), which are second-order differential equations for measures. In both parts, we prove …
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Analysis and Modeling of Landscape Topography: Statistical Description and Evolution Under Natural and Disturbed Conditions
… applications. A nonlinear differential equation whose validity is limited to regular points of the watershed is obtained from a continuity equation, and the theory is then extended to critical and singular points by means of both Gauss' theorem and dynamical systems concepts. Such a link …
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Tidal velocity asymmetries and bedload transport in shallow embayments
… and tidal velocity are related through the equations of motion of the fluid. If the estuary is shallow, the change in cross-sectional area of the channel with the tide is significant with respect to total area: the equations become nonlinear and an exact solution does not exist. A …
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Influence of defects and impurities on solar cell performance
… recombination velocities. The three dimensional continuity equation of the minority carriers has been solved in a solar cell having periodic array of dislocations and with front and back surface recombination. Each dislocation is considered to be a space charge cylinder perpendicular to the …
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ΘΕΩΡΗΤΙΚΗ ΜΕΛΕΤΗ ΤΗΣ ΣΥΜΠΕΡΙΦΟΡΑΣ ΗΛΕΚΤΡΙΚΗΣ ΕΚΚΕΝΩΣΗΣ ΣΕ ΜΙΚΡΑ ΔΙΑΚΕΝΑ
… AND ELECTRONS ISDESCRIBED BY ONE-DIMENSIONAL CONTINUITY EQUATION IN CONJUCTION WITH THE POISSON'S EQUATIONS WHICH ARE RESOLVED BY AN ACCURATE NUMERICAL METHOD. THE EFFECTS OF IONIZATION, RECOMBINATION, ATTACHMENT AND ION SECONDARY-ELECTRON EMISSION FROM THE CATHODE ARE ALL INCLUDED. THE …
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Arbitrary high order discontinuous Galerkin methods for the shallow water and incompressible Navier-Stokes equations on unstructured staggered meshes
… shallow water and incompressible Navier-Stokes equations on staggered unstructured curved meshes. Isoparametric finite elements are used to take into account curved domain boundaries. Regarding two-dimensional shallow water equations, the discrete free surface elevation is defined on a primal …
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Transient state analysis of separated flow around a sphere
<p>"Transient state solution of the Navier Stokes equation was obtained for incompressible flow around a sphere accelerating from zero initial velocity to its terminal free falling velocity. By assuming rotational symmetry around the axis in the falling direction, the Navier Stokes equation and the …
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A Problem From Hamiltonian Mechanics With Time -Periodic Coefficients, Small Noise, and Degeneracy
… can also be understood through the Fokker-Planck equation, and the gluing coefficients arise in the corresponding conservation of flux and in the continuity equation.
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Método implícito para solução do problema de ondas de cheia em junção de rios
… 2) matching the stages at the junction using the continuity equation. Besides other features related to the method it is worthwhile to emphasize: a) it is impossible to solve the problem by approximate methods known at the present time (1972). b) the only solution presented in a systematic way, …
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