1) La descarga del recurso depende de la página de origen
2) Para poder descargar el recurso, es necesario ser usuario registrado en Universia


Opción 1: Descargar recurso

Opción 2: Descargar recurso

Detalles del recurso

Descripción

Turbulence is an open and challenging problem for mathematical approaches, physical modeling and numerical simulations. Numerical solutions contribute significantly to the understand of the nature and effects of turbulence. The focus of this thesis is the development of appropriate numerical methods for the computer simulation of turbulent flows. Many of the existing approaches to turbulence utilize analogies from kinetic theory. Degond & Lemou (J. Math. Fluid Mech., 4, 257-284, 2002) derived a k-✏ type turbulence model completely from kinetic theoretic framework. In the first part of this thesis, a numerical method is developed for the computer simulation based on this model. The Boltzmann equation used in the model has an isotropic, relaxation collision operator. The relaxation time in the collision operator depends on the microscopic turbulent energy, making it difficult to construct an efficient numerical scheme. In order to achieve the desired numerical efficiency, an appropriate change of frame is applied. This introduces a stiff relaxation source term in the equations and the concept of asymptotic preserving schemes is then applied to tackle the stiffness. Some simple numerical tests are introduced to validate the new scheme. In the second part of this thesis, alternative approaches are sought for more efficient numerical techniques. The Lattice Boltzmann Relaxation Scheme (LBRS) is a novel method developed recently by Rohan Deshmukh and S.V. Raghuram Rao for simulating compressible flows. Two different approaches for the construction of implicit sub grid scale -like models as Implicit Large Eddy Simulation (ILES) methods, based on LBRS, are proposed and are tested for Burgers turbulence, or Burgulence. The test cases are solved over a largely varying Reynolds number, demonstrating the efficiency of this new ILES-LBRS approach. In the third part of the thesis, as an approach towards the extension of ILES-LBRS to incompressible flows, an artificial compressibility model of LBRS is proposed. The modified framework, LBRS-ACM is then tested for standard viscous incompressible flow test cases.

Pertenece a

ETD at Indian Institute of Science  

Autor(es)

Ruhi, Ankit - 

Id.: 70977476

Idioma: inglés (Estados Unidos)  - 

Versión: 1.0

Estado: Final

Palabras claveTurbulence Modeling - 

Tipo de recurso: Thesis  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

Requerimientos técnicos:  Browser: Any - 

Relación: [References] G28253

Fecha de contribución: 08-feb-2018

Contacto:

Localización:

Otros recursos del mismo autor(es)

  1. Asymptotic Preserving scheme for a kinetic model describing incompressible fluids International audience

Otros recursos de la mismacolección

  1. Compactness Theorems for The Spaces of Distance Measure Spaces and Riemann Surface Laminations Gromov’s compactness theorem for metric spaces, a compactness theorem for the space of compact metri...
  2. A Formal Proof of Feit-Higman Theorem in Agda In this thesis we present a formalization of the combinatorial part of the proof of Feit-Higman theo...
  3. A Posteriori Error Analysis of Discontinuous Galerkin Methods for Elliptic Variational Inequalities The main emphasis of this thesis is to study a posteriori error analysis of discontinuous Galerkin (...
  4. Central and Peripheral Correlates of Motor Planning A hallmark of human behaviour is that we can either couple or decouple our thoughts, decision and mo...
  5. Eigenvalues of Products of Random Matrices In this thesis, we study the exact eigenvalue distribution of product of independent rectangular com...

Aviso de cookies: Usamos cookies propias y de terceros para mejorar nuestros servicios, para análisis estadístico y para mostrarle publicidad. Si continua navegando consideramos que acepta su uso en los términos establecidos en la Política de cookies.