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Showing 1 to 20 of 69 for “"incompressible Navier-Stokes"”.
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Exponential Integrators for the Incompressible Navier-Stokes Equations
… projection scheme for time integration of the incompressible Navier-Stokes equations (NSE). The method is based on a projection onto the subspace of divergence-free (incompressible) functions interleaved with a Krylov-based exponential time integration (KBEI). These time integration methods …
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An iterative pressure-correction method for the unsteady incompressible Navier-Stokes Equation
The pressure-correction projection method for the incompressible Navier-Stokes equation is approached as a preconditioned Richardson iterative method for the pressure- Schur complement equation. Typical pressure correction methods perform only one iteration and suffer from a splitting error that …
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Nonconforming sliding spectral element methods for the unsteady incompressible Navier-Stokes equations
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 1991.
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ILU and Machine Learning Based Preconditioning For The Discretized Incompressible Navier-Stokes Equations.
Motivated by the numerical solution of the incompressible Navier-Stokes equations, this thesis studies numerical properties of threshold incomplete LU factorizations for nonsymmetric saddlepoint matrices. We consider preconditioned iterative Krylov-subspace methods, such as GMRES, to solve large …
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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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Optimal spectral element methods for the unsteady three-dimensional incompressible Navier-Stokes equations
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1988.
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The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility
… grid finite-volume scheme for solving the full incompressible Navier-Stokes equations along with the energy equation in a strongly coupled manner is presented. The Boussinesq approximation is utilized to account for thermal buoyancy. The method of artificial compressibilty is used to solve the …
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Highly scalable solution of incompressible Navier-Stokes equations using the spectral element method with overlapping grids
… time-stepping scheme is developed (a first for incompressible flow simulations) that allows the underlying equations to be advanced with time-step sizes varying as much as an order-of-magnitude between adjacent domains. All the developments maintain the third-order temporal convergence and …
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Dynamic Incompressible Navier-Stokes Model of Catalytic Converter in 1-D Including Fundamental Oxidation Reaction Rate Expressions
… an updated model is proposed for the dynamically incompressible flow in the converter. At the same time, derivation and utilization of these terms is studied for proper inclusion in the model. Furthermore, it is evident from the history of catalyst modeling that precise reaction rate expressions …
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A Modified Nodal Integral Method for the Time -Dependent, Incompressible Navier -Stokes Equations and Its Parallel Implementation
… method is also developed for the two-dimensional Navier-Stokes equations with Drichlet boundary conditions. Good speedup is obtained for up to four processors for the modified lid driven cavity problem with exact solution.
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Application of pressure-projection algorithms to a sharp projection immersed boundary method for the incompressible Navier-Stokes equations
… classic fractional step method for the unsteady, incompressible Navier-Stokes equations. While second-order accuracy in time and space is generally achievable for the velocity components, the pressure is usually first-order. To fully understand the source of this problem and the interplay between …
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Arbitrary high order discontinuous Galerkin methods for the shallow water and incompressible Navier-Stokes equations on unstructured staggered meshes
… for the solution of the 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 …
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Numerical methods for the unsteady incompressible Navier-Stokes equations and their application to the Direct Numerical Simulation of turbulent flows
… efficient parallel computation of the unsteady incompressible Navier-Stokes equations are presented. Such efficient methods are desired for large scale parallel computations of unsteady turbulent flows such as Direct Numerical Simulations (DNS). The performance of the new methods has a distinct …
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I. A pressure Poisson method for the incompressible Navier-Stokes equations : II. Long time behavior of the Klein-Gordon equations
… In the first problem, we reformulate the incompressible Navier-Stokes equations into an equivalent pressure Poisson system. The new system allows for the recovery of the pressure in terms of the fluid velocity, and consequently is ideal for efficient but also accurate numerical …
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Operator splitting methods for the Navier-Stokes equations
… of two algorithms for the solution of the incompressible Navier-Stokes equations are examined. These algorithms are representative of the two prevalent splitting philosophies used to split the Navier-Stokes equations. The properties of the algorithms are determined by Fourier analysis of a …
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Numerical Methods for Accurate Computation of Design Sensitivities
… extended to 2-D flow problems governed by the incompressible Navier-Stokes equations. Numerical experiments are conducted to test the algorithms and to investigate the benefits of adaptivity and smoothing.
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Performance evaluation and improvements of CFD-based aerodynamic design optimization
… Euler/boundary-layer, and compressible and incompressible Navier-Stokes equations were used for the flow analyses. Inverse design optimization used a least-square method to minimize pressure discrepancies between a target and the designed airfoils, and designs were performed for transonic …
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Sensitivity Enhanced Model Reduction
… reaction-diffusion equation and 2-dimensional incompressible Navier-Stokes equations solved using the finite element method (FEM) as the full scale model. The expanded model formed by expanding the POD basis with the orthonormalized basis sensitivity vectors achieves the best mixture of …
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