Dissertation > Excellent graduate degree dissertation topics show

The Adaptive Mesh Technique for the Simulation of Multi-medium Flow

Author: TangQiang
Tutor: WangChunWu
School: Nanjing University of Aeronautics and Astronautics
Course: Computational Mathematics
Keywords: compressible multi-medium flow adaptive mesh refinement real Ghost Fluid Method Riemann problem fluid interface
CLC: O241.8
Type: Master's thesis
Year: 2009
Downloads: 53
Quote: 0
Read: Download Dissertation

Abstract


Adaptive mesh refinement technique has been widely used in computational fluid dynamics, in this method the numerical solution can be obtained with high resolution at the discontinuity and computational cost can be saved. It behaves well for single-medium but the extension to multi-medium flow is not straightforward due to the different medium on both sides of the interface. In this paper a numerical algorithm is presented for the multi-medium flow by coupling the rGFM and the AMR technique.The Riemann problems are constructed at the interface and solved to define the interface boundary conditions for fluid on both sides of the interface respectively, so the computation of multi-medium flow can be carried out as if in the single medium, and AMR method for single-medium flow is then employed for each medium. As the adaptive mesh refinement method works only in the local domain where large-gradient change happens, it increases the computational efficiency besides the improvement of flow field resolution. Several numerical experiments are conducted to demonstrate robustness and efficiency of the current method. They include several 1D and 2D gas–water flow problems, involving a large density gradient at the material interface and strong shock-interface interactions. The results show that our algorithm can capture the shock waves and the material interface accurately, and is stable and robust even for solutions with large density and pressure gradients.

Related Dissertations

  1. The Research about the Problem of Piston,O175.8
  2. Exact Solutions to the Riemann Problem of the Shallow Water Equations,O241.6
  3. Decomposition characteristics of the two-dimensional Euler equations with the evacuation wave interaction,O241.82
  4. Numerical Simulation Method for Compressible Multi-media Flow Based upon Adaptive Mesh Refinement,O351
  5. Global Existence of Solutions for Quasilinear Hyperbolic Systems of Balance Laws,O175.27
  6. Numerical Simulation Technique Research for Multi-Material Flows on Unstructural Moving Grids,O35
  7. The Study on R-M Instability of the Material Interface in Gas-water Compressible Flow,O359.1
  8. The Initial Value Problem for a Class of Nonlinear Hyperbolic Systems of Conservation Laws,O175.27
  9. Two Kinds of Typical Initial Value Problems for the Simplest Chapman-Jouguet Combustion Model,O175.29
  10. High Resolution Level-Set Methods for Moving Interfaces of Multiple Material Fluids,O35
  11. On the Theory and Numerical Computation for the Boundary Problems of the First Order Elliptic Systems,O241.8
  12. Two Kinds of Typical Initial Value Problems for the Simplest Combustion Model,O382
  13. Non-selfsimilar Elementary Waves of the Multi-dimensional Scalar Conservation Law and Their Interactions,O411.1
  14. The Generalized Riemann Problem Method for the Shallow-Water Equations with Bottom Topography,O302
  15. Three-Dimensional Computations on Capturing of Gas-Water Interface by Level Set Method,O35
  16. An Application and Study of Multi-material Flows on Unstructured Moving Grids,TB126
  17. Godunov-Type Shcemes for Pressure Gradient Equations and Isentropic Fluid Flows,O241.8
  18. The Computation of Spherical Compressible Fluid Flows by the GRP Scheme,O241.82
  19. Singular Structure of Global Solution for a Class of Two-Dimensional Conservation Laws,O175.24
  20. The Study of a Radial Point Interpolation Meshless Method with Polynomial Basis and It’s Application,O241
  21. The Semilocal Convergence Properties of Super-Halley Method and Newton Method under Weak Conditions,O241.7
  22. Spectral Method for Solving Two Types of Delay Differential Equations,O241.8

CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations
© 2012 www.DissertationTopic.Net  Mobile