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Showing 1 to 20 of 27 for “"Finite Volume Scheme"”.
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Black oil simulation utilizing a central finite volume scheme
… validates the use of a central high resolution finite volume scheme developed by Kurganov and Tadmor (KT) to the black-oil model problem. The KT scheme is desirable because of its relative ease of implementation and its ability to generate high resolution solutions at low computational costs. In …
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Two-dimensional Euler computations on a triangular mesh using an upwind, finite-volume scheme
… numerical procedure has been developed for the finite-volume solution of the Euler equations on unstructured, triangular meshes using a flux-difference split, upwind method. The procedure uses a dual mesh system to implement the finite-volume scheme using conserved variables stored at the …
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Solving the system of Radiation Magnetohydrodynamics : for solar physical simulations in 3d
In this study we present a finite-volumen scheme for solving the equations of radiation magnetohydrodynamics in two and three space dimensions. Among other applications this system is used to model the plasma in the solar convection zone and in the solar photosphere. It is a non--linear system of …
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Towards Improvement of Numerical Accuracy for Unstructured Grid Flow Solver
… of a three dimensional unstructured grid finite volume scheme is pursued in the present work. Unstructured grid methods have been widely used in computational fluid dynamics for the convenience of modeling complex geometries in realistic applications. In the present work, improvements …
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On a Moving Boundary Problem of Transitional Ballistics
… of a gun weapon is the development of numerical schemes which effectively account for the physics of projectile motion. The chief difficulty is that away from the projectile the calculation is ordinarily accomplished on a fixed numerical grid, whereas due to projectile movement some cells of the …
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The unstructured grid incompressible Navier-Stokes algorithm for convective heat transfer based on artificial compressibility
The development of an explicit unstructured 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 …
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2-D CFD design of the cross-sectional shape of arterial stents
… problem for the optimizer. A 2-D mixed-element finite-volume scheme for solving the compressible Navier-Stokes equations is implemented. A paramaterization of the cross- sectional shape of the stent wire using Hicks-Henne functions is described. The strategies used in the commercial optimization …
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The development of dedicated CFD solver for aerodynamic analysis on internal and external flow
… present work focuses on the use of two types of Finite Volume methods. The first Finite volume method is a Cell-Centered Finite volume Scheme, while the second one is the Roe’s Finite Volume Scheme. In parallel to the development of computer code based on finite volume schemes, the present works …
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Numerical Methods for Compressible Multi-phase flows with Surface Tension
… capturing Total Variation Diminishing (TVD) finite volume scheme is used on both Cartesian and unstructured triangular grids. Regarding the TVD finite volume scheme on the unstructured grid, time-accurate local time stepping (LTS) is applied to compute the solutions of the governing PDE …
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Dynamic mesh adaption for supersonic combustion waves modeled with detailed reaction mechanisms
… of reactive flow problems. <br>In our numerical scheme, we combine the dynamic mesh adaption with <br>an explicit as well as implicit upwind finite volume scheme, <br>time scale splitting, adaptive local time stepping, and source term <br>integration methods, to solve stiff systems of ODEs. …
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Thermal Analysis of the Detector in the Radiation Budget Instrument (RBI)
… developed. Using a MATLAB algorithm, an implicit finite-volume scheme is implemented to determine the model solution. Model parameters are tuned to replicate experimental data using a robust parameter estimation scheme. With these model parameters defined, the electro-thermal sensor model can be …
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Mechanics and numerical simulations of Dry Granular Flows driven by gravity
… a numerical point of view, a path conservative finite volume scheme has been adopted to solve the system of equations previously described: the numerical solution is compared to the experimental results for different configurations, in order to verify the effectiveness of the mode
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A z-ordering cartesian grid method and its application in flow simulation
… a decimal coding system. Finally, a second-order finite volume scheme is developed based on the analysis of various current schemes. Both two-dimensional and three-dimensional schemes are presented in this thesis. Thus, a unique fast Cartesian grid generation method is provided.<br/>A finite …
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A methodology for centrifugal compressor stability prediction
… The methodology consists of a control volume analysis to define the body force fields based on steady, single-passage 3-D RANS simulations and a look-up table approach to capture the dependence of the body forces on the local flow parameters. The body force model was implemented in a …
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Generalized spatial discretization techniques for space-marching algorithms
… by applying a characteristic-based, upwind, finite volume scheme for the solution of the Euler equations. First-order and higher spatial accuracy is achieved with these implementations. A time dependent, space-marching algorithm is employed, with explicit time integration for convergence of …
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The development of reynolds averaged navier stokes solver for a two dimensional compressible flow problem
… in combining the numerical grid generation and scheme for discretizing the governing equation and turbulence model, which need to be provided in making the RANS equation solvable. In developing the RANS solver, the present research uses the unstructured grid for meshing the flow domain, combined …
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Collective behaviour of active particles with mean-field interaction
… exist globally in time and do not blow up at infinite time, which makes use of the $L^p$ Alikakos iteration method. We show a nonlinear stability result for the time-dependent problem for small interaction strength and small initial perturbation. We also show a uniqueness result for the …
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Gradient-Based Optimum Aerodynamic Design Using Adjoint Methods
… on the Steger-Warming flux-vector-splitting scheme, is proposed to solve the adjoint equations. This scheme can finely resolve the singularity at the sonic throat. A non-uniform grid, with points clustered near the throat region, can resolve it even better. The analytical solutions to the …
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Well balanced Arbitrary-Lagrangian-Eulerian Finite Volume schemes on moving nonconforming meshes for non-conservative Hyperbolic systems
… direct Arbitrary-Lagrangian-Eulerian (ALE) Finite Volume scheme for nonlinear hyperbolic systems, written both in conservative and non-conservative form, whose peculiarity is the nonconforming motion of interfaces. Moreover it has been coupled together with specifically designed …
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Numerical Modelling of Sooting Laminar Diffusion Flames at Elevated Pressures and Microgravity
… modelling, making use of a second-order accurate finite-volume scheme and a parallel adaptive mesh refinement algorithm on body-fitted, multi-block meshes. An acetylene-based, semi-empirical model was used to predict the nucleation, growth, and oxidation of soot particles. Reasonable agreement …
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