Fluid Dynamics Modeling : The Numerical Solution Of 2D Navier Hyperbolic Equations

نویسندگان

  • Erik Arakelyan
  • Aram Serobyan
  • Narek Jilavyan
چکیده

In the following paper we will consider Navier-Stokes problem and it's interpretation by hyperbolic waves, focusing on wave propagation. We will begin with solution for linear waves, then present problem for non-linear waves. Later we will derive for numerical solution using PDE's. Also we will design a Matlab program to solve and simulate wave propagation. Keywords1: Navier-Stokes equations, Fluid dynamics, non-linear waves, linear waves, hydrodynamics, hyperbolic waves, wave simulation, Ordinary differential equations, Partial differential equations, shock wave propagation, wave equation, string vibration, signal propagation, Explicit Finite difference approximation. 1 And fancy stuff :)

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An Alternating Direction Implicit Method for Modeling of Fluid Flow

This research includes of the numerical modeling of fluids in two-dimensional cavity. The cavity flow is an important theoretical problem. In this research, modeling was carried out based on an alternating direction implicit via Vorticity-Stream function formulation. It evaluates different Reynolds numbers and grid sizes. Therefore, for the flow field analysis and prove of the ability of the sc...

متن کامل

ar X iv : 0 90 1 . 45 48 v 1 [ m at h . N A ] 2 8 Ja n 20 09 THE NAVIER - STOKES - VOIGHT MODEL FOR IMAGE INPAINTING

In 2001, Bertalmio, et. al. drew an analogy between the image intensity function for the image inpainting problem and the stream function in a two-dimensional (2D) incompressible fluid. An approximate solution to the inpainting problem is obtained by numerically approximating the steady state solution of the 2D NSE vorticity transport equation, and simultaneously solving the Poisson problem bet...

متن کامل

ar X iv : 0 90 1 . 45 48 v 2 [ m at h . N A ] 2 8 Ja n 20 09 THE NAVIER - STOKES - VOIGHT MODEL FOR IMAGE INPAINTING

In 2001, Bertalmio, et. al. drew an analogy between the image intensity function for the image inpainting problem and the stream function in a two-dimensional (2D) incompressible fluid. An approximate solution to the inpainting problem is obtained by numerically approximating the steady state solution of the 2D NSE vorticity transport equation, and simultaneously solving the Poisson problem bet...

متن کامل

Entropy Stable Approximations of Nonlinear Conservation Laws

A central problem in computational fluid dynamics is the development of the numerical approximations for nonlinear hyperbolic conservation laws and related time-dependent problems governed by additional dissipative and dispersive forcing terms. Entropy stability serves as an essential guideline in the design of new computationally reliable numerical schemes. My dissertation research involves a ...

متن کامل

Simulation of viscous flows with boundary layers within multiscale model using generalized hydrodynamics equations

The multiscale method for computational fluid dynamics (CFD) is proposed to solve viscous flow problems at high Reynolds numbers with a thin boundary layer. This method is a physics-based model, uses generalized hydrodynamic equations proposed by Alexeev (1994), and can be interpreted as a regularization of the Navier-Stokes equations. Numerical solutions using this approach compare favorably w...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • CoRR

دوره abs/1601.05695  شماره 

صفحات  -

تاریخ انتشار 2016