# What are the main advantages and disadvantages of Finite Volume Method as applicable to discretization of the governing equations?

## What are the main advantages and disadvantages of Finite Volume Method as applicable to discretization of the governing equations?

The main advantage as well as the main disadvantage of finite elements is that it is a mathematical approach that is difficult to put any physical significance on the terms in the algebraic equations. In the finite volume method, you are always dealing with fluxes – not so with finite elements.

Why Finite Volume Method is used in CFD?

The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations. Another advantage of the finite volume method is that it is easily formulated to allow for unstructured meshes. The method is used in many computational fluid dynamics packages.

What is the advantage of the finite volume method over the finite difference method based on the discretization of partial derivatives?

Finite Volume solves the integral form of balance equation; while Finite Difference, differential form is being solved. This gives an advantage of being conservative without special cares (mass conservative or momentum conservative) in FVM is more natural and guaranteed compared to FDM (or FEM).

### What are the advantages of finite difference method?

The finite-difference method is defined dimension per dimension; this makes it easy to increase the “element order” to get higher-order accuracy.

What are the advantages of Finite Volume Method?

The Finite Volume Method can be considered as specific subdomain method as well. FVM has two major advantages: First, it enforces conservation of quantities at discretized level, i. e. mass, momentum, energy remain conserved also at a local scale. Fluxes between adjacent control volumes are directly balanced.

Is CFD finite volume?

CFX is not a Finite Element Method, is a Finite Volume Method based on Elements – EbFVM, with a Cell Vertex Formulation. While in the CFX the volume of control is assembled around the nodes. Each element is divided in sub-volumes.

## Is CFD finite volume method?

Finite volume method is used to discretize each of the equations. The discretization and solution methods are formulated on structured as well as unstructured meshes….Computational Fluid Dynamics using Finite Volume Method.

Course Status : Completed
Start Date : 14 Sep 2020
End Date : 04 Dec 2020
Exam Date : 20 Dec 2020 IST
Enrollment Ends : 25 Sep 2020

What is difference between FEM and FEA?

FEM: Developed by engineers in the mid-1950s, FEM provides a numerical solution for a complex problem, which allows for some level of error. FEA: The mathematical equations behind FEM are applied to create a simulation, or what’s known as a finite element analysis (FEA).

What is the difference between finite element and finite volume?

A finite volume method is a discretization based upon an integral form of the PDE to be solved (e.g. conservation of mass, momentum, or energy). while a finite element method is a discretization based upon a piecewise representation of the solution in terms of specified basis functions.

### Is fluent better than CFX?

CFX is fully implicit, relatively faster than FLUENT, but requiring much storage. CFX is a cell-vertex code, while FLUENT a cell-centered. CFX has a shape function borrowed from FEM to evaluate gradients, but FLUENT uses the staggered grid concept.