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Showing 1 to 13 of 13 for “"Pressure Poisson equation"”.
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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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Direct numerical simulations of separated and separated-reattaching flows on massively parallel processing computers
… decomposition has been developed for the pressure-Poisson equation. A mixed Fourier-spectral/finite-difference formulation is used for the spanwise discretization, and a data-parallel algorithm has been developed for the CM-5. The performance of the algorithm has been evaluated on various …
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Modeling flow encountering abrupt topography using hybridizable discontinuous Galerkin projection methods
… stabilization parameter for both the momentum equation as well as tracer diffusion. We also make a correction to our singularity treatment algorithm for nailing down a numerically consistent and unique solution to the pressure Poisson equation with homogeneous Neumann boundary conditions …
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Lattice Boltzmann simulations of multiphase flows
… to the He-Chen algorithm by introducing a pressure Poisson equation (PPE) to reduce density variation related to compressibility effects.
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Efficient Spectral-Element Methods For Acoustic Scattering And Related Problems
… method to reduce the two-dimensional Helmholtz equation with complex scattering surface into a successive sequence of the transmission problems with a plane interface. Then, we use Fourier-Spectral method in the periodic structure problem and Hermite-Spectral method in the unbounded rough …
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A multilevel method for meshless solution of the poisson equation in heat transfer and fluid flow
… based methods for solving partial differential equations in complex geometries. Gaussian, Multiquadratics and inverse Multiquadratics are some of the more popular RBF's, but the require a shape paramter for a stable and accurate solution and also face stagnation issues. Recently, Polyharmonic …
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Turbulent Boundary Layers over Rough Surfaces: Large Structure Velocity Scaling and Driver Implications for Acoustic Metamaterials
… of controlling acoustic waves driven by pressure fluctuations from flow. A turbulent boundary layer scaling analysis was performed on zero-pressure-gradient turbulent boundary layers over rough surfaces, for 30,000≤〖Re〗_θ≤100,000. Relationships between fluctuating pressures and velocities …
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Finite Element Simulation of Interfacial Flows on Unstructured Meshes using a Second-order Accurate VOF Method
… of the time-dependent Navier-Stokes equations for immiscible, Newtonian, laminar, isothermal incompressible flows, with a volume-of-fluid (VOF) technique for interface capturing. A new formulation of the pressure Poisson equation that requires the discretization of a second-order …
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Large Eddy Simulations of complex turbulent flows
… solves unsteady, filtered Navier-Stokes equations using high-order accurate (fourth order in space) finite difference schemes on a staggered grid with a fractional step approach. Pressure Poisson equation is solved using a direct solver based on a matrix diagonalization technique. Second …
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A high-order hybrid flow solver for the simulation of nonlinear internal waves in long complex domains
… the numerical solution of the domain-decomposed pressure Poisson equation (PPE). The resulting Schur complement system of equations of the PPE is iteratively solved using a deflated block-Jacobi preconditioned conjugate gradient solver which ensures a fast convergence rate independent of the …
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Parallel Simulations, Reduced-Order Modeling, and Feedback Control of Vortex Shedding using Fluidic Actuators
… code to solve the incompressible Navier-Stokes equations on curvilinear coordinates to analyze vortex shedding. The algorithm is implemented on a distributed-memory, message-passing parallel computer, and a domain decomposition technique is employed to partition the grid into various processors. …
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The Effects of Pressure Gradient and Roughness on Pressure Fluctuations Beneath High Reynolds Number Boundary Layers
… family of continually varying, bi-directional pressure gradient distributions are investigated in both wind tunnel experiments and steady 2D and 3D Reynolds Averaged-Navier-Stokes (RANS) computations. The effects of pressure gradient, pressure gradient history, roughness, combined roughness and …
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The study and control of wall bounded flows : El estudio y control de flujos de pared
… One of the examples is the flow in the low pressure turbine part of an engine. Efficiency can be increased by increasing the curvature of the blades. However, this leads to higher risks of the flow separating, which is undesirable as it can cause vibration and efficiency losses. Another, …