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Showing 1 to 20 of 110 for “"finite volume method"”.
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Complex fluid dynamical computations via the Finite Volume Method
… model. Our Numerical approach is based on finite volume method, based on the Johnson-Segalman constitutive model and implemented on the OpenFOAM® platform. The Johnson-Segalman model also easily reduces to the Oldroyd-B model under certain conditions of the material parameters. Since …
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A Cartesian finite-volume method for the Euler equations
… The Euler equations are solved using a finite-volume method with a non-body-fitted Cartesian grid. A new numerical formulation for complicated body geometries is developed in conjunction with implicit flux-splitting schemes. A variety of numerical computations have been performed to …
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Supersonic conical flow computations using a rectangular finite volume method
A method is developed to solve the conical flow equations in spherical coordinates using a rectangular finite volume approach. The only mapping done is the mapping of the spherical solution surface to that of a flat plane using a stereographic projection. The mapped plane is then discretised into …
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Extension of the finite volume method to laminar and turbulent flow
A method has been developed which calculates two-dimensional, transonic, viscous flow in ducts. The finite volume, time marching formulation is used to obtain steady flow solutions of the Reynolds-averaged form of the Navier Stokes equations. The entire calculation is performed in the physical …
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TIME-CONSERVATIVE FINITE-VOLUME METHOD WITH LARGE-EDDY SIMULATION FOR COMPUTATIONAL AEROACOUSTICS
This thesis presents a time-conservative finite-volume method based on a modern flow simulation technique developed by the author. Its applicability to technically relevant aeroacoustic applications is demonstrated. The time-conservative finite-volume method has unique features and advantages in …
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A finite volume method for the Navier-Stokes equations with finite rate chemistry
Thesis (Sc. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1985.
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On Numerical Error Estimation for the Finite-Volume Method with an Application to Computational Fluid Dynamics
… solutions. An equivalence between adjoint methods and ETE methods for functional error estimation is presented. This adjoint/ETE equivalence is exploited to efficiently obtain error estimates for multiple output functionals and to extend the higher-order properties of adjoint methods to ETE …
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Simulation of steady mixed convection in a lid-driven cavity filled with newtonian fluid by finite volume method
… variables. These equations were solved using the finite volume method. The convection-diffusion terms were discretized using the power law scheme while the pressure and velocity components were coupled using the SIMPLE algorithms. The resultant matrices were then solved iteratively using the Tri- …
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Novel fitted multi-point flux approximation methods for options pricing
… Black-Scholes PDE strongly relies on numerical methods. The finite difference method and the finite volume method are amongst the most used numerical methods for its resolution. Besides, the BlackScholes PDE is degenerated when stock price approaches zero. This degeneracy affects negatively the …
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Numerical solution for subsurface reservoir simulation
… there is an extensive literature on numerical methods for PDEs. In this work, we review some numerical techniques, more precisely we present finite volume method with two-point flux approximation and mixed finite volume method for spatial discretization of elliptic and parabolic PDEs modeling …
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Covolume-Upwind Finite Volume Approximations For Linear Elliptic Partial Differential Equations
<p>In this dissertation we study covolume-upwind finite volume methods on rectilinear grids for solving second-order linear elliptic partial differential equations with mixed boundary conditions. This class of problems has intensive applications in various fields of science and engineering, e.g., …
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Aerodynamic inverse design of transonic turbomachinery cascades
An aerodynamic inverse design method for turbomachinery cascades is presented and is implemented in a finite volume method. In this design method, the mass-averaged swirl schedule and the blade thickness distribution are prescribed. The design method then provides the blade shape that would …
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Large Time Step and Overlapping Grids for Conservation Laws
… dissertation is to construct a large time step Finite Volume Method for computing numerical solutions to hyperbolic systems of conservation laws. We also consider a method of overlapping spatial grids for which variants have proved to be an important consideration in large scale applications. In …
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Solving The Prandtl Boundary Layer Equation in Fluid Dynamics Via Non-Linear Numerical Optimization
<p>The Finite Volume Method (FVM) is often applied to solve the non-linear Navier-Stokes differential equations. One of the main disadvantages of this method is that it requires a very fine mesh and a very large number of iterations for reasonable numerical solutions. In this research, a different …
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Numerical simulation of the plastics injection moulding process
… generalized to non-Newtonian materials. The finite volume method, which is a very powerful method yet easy to use, was used to discretize the governing equations as compared to finite element methods used in most other reported models. The influence of the Hele-Shaw approximations on the …
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Numerical Simulation of Multiphase Flow in Fractured Porous Media
… analysis for waste repositories. We present a finite volume method for the numerical solution of the multiphase flow equations in fractured porous media. The capillary pressure is treated by an extended capillary pressure interface condition. The method is fully coupled and fully implicit and …
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An integrated peridynamics-finite volume based multi-phase flow, geomechanics and hydraulic fracture model
… faster by coupling it with the less expensive Finite Volume Method. The single-phase peridynamics flow model for slightly compressible, Newtonian fluids has been generalized for multiphase, multicomponent flow of compressible, non-Newtonian fluids. The generalized flow model has been coupled …
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DEVELOPMENT OF HIGH-ORDER FINITE VOLUME METHODS ON UNSTRUCTURED GRIDS AND THEIR APPLICATIONS
… bottleneck problems of the existing high-order methods, two straightforward mesh-free scheme-based high-order finite volume (FV) methods on unstructured grids are developed in this thesis for simulation of various flow problems. Under the basic framework of the unstructured finite volume method, …
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