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Showing 1 to 20 of 52 for “"incompressible Navier-Stokes equations"”.
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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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High-order incompressible Navier-Stokes equations solver for blood flow
… difference solver was written to solve the incompressible Navier-Stokes (NS) equations and was applied to analyze the blood flow. First, a computer code was written to solve incompressible Navier- Stokes equations using the exact projection method/fractional step scheme. A fifth-order …
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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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Highly scalable solution of incompressible Navier-Stokes equations using the spectral element method with overlapping grids
… subdomains. In each domain, the governing equations are discretized with an efficient high-order spectral element method (SEM). At each step, subdomain boundary data are determined by interpolating from the overlapping region of adjacent subdomains. The data are either lagged in time or …
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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
… two problems involving partial differential 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 …
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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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Unsteady Viscous Cavity Flow Using Computational Fluid Dynamics
<p>The problem of unsteady viscous incompressible flow in a two-dimensional cavity is treated using the unsteady incompressible Navier-Stokes equations with various initial and boundary conditions. First the case of a square cavity with one inlet and one outlet is treated in steady and unsteady …
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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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