Fluid Dynamics (finite difference or finite volume)

In summary, the conversation is about creating a program to model fluids using the finite difference method. The person is unsure whether to use finite difference or finite volume methods and is seeking help on which method would be better for simulating incompressible and compressible fluids.
  • #1
Joe1
11
0

Homework Statement


I'm trying to create a program which models fluids using the finite difference method

Homework Equations


This is what I'm looking for:)

The Attempt at a Solution



I'm hoping someone can point me in the right direction. I guess at first I'll just simulate incompressible fluids and then maybe move to compressible fluids. I'm not sure whether to use finite difference or finite volume methods. Would finite volume would be better suited to simulate incompressible fluids and finite difference would be better for compressible?

Any help is greatly appreciated.

Thanks,
Joe
 
Last edited:
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  • #2
fluid dynamic

I ASK WHICH IN THIS DAYS THE BEST way to solve the problems in fluids dynamic ,about numerical methods?
 

1. What is fluid dynamics?

Fluid dynamics is the study of how fluids (liquids and gases) move and interact with each other and with their surroundings. It involves the use of mathematical equations and numerical methods to understand and predict the behavior of fluids.

2. What is the difference between finite difference and finite volume methods?

Both finite difference and finite volume methods are numerical techniques used to solve fluid dynamics equations. The main difference between them is the way in which they discretize the fluid domain. Finite difference methods divide the domain into a grid of points, while finite volume methods divide it into a grid of control volumes. This difference affects the way in which the equations are solved and the accuracy of the results.

3. What are the main applications of fluid dynamics?

Fluid dynamics has a wide range of applications in various fields such as aerospace engineering, oceanography, meteorology, and chemical engineering. It is used to study the flow of air and water around objects, the behavior of weather systems, and the movement of fluids in pipes and channels. It is also crucial in the design of vehicles, buildings, and other structures that interact with fluids.

4. What are the limitations of using numerical methods in fluid dynamics?

Numerical methods in fluid dynamics have certain limitations, such as the need for a lot of computational power and time to solve complex problems. They also rely on simplifications and assumptions, which can lead to inaccuracies in the results. Additionally, these methods may not be able to capture certain physical phenomena, such as turbulence, accurately.

5. How is fluid dynamics used in real-world scenarios?

Fluid dynamics is used in various real-world scenarios, such as designing and optimizing the shape of airplanes, cars, and ships to reduce drag and increase efficiency. It is also used in weather forecasting to predict the movement of storms and hurricanes. In the oil and gas industry, fluid dynamics is used to simulate the flow of fluids in reservoirs and pipelines. Additionally, it is used in the design and testing of medical devices and in the study of biological systems.

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