# GeneralTemplate

(Difference between revisions)
 Revision as of 14:17, 12 July 2013 (view source)Antonia (Talk | contribs) (Created page with "== Computational Fluid Dynamics module == === Introduction === Examples showing the class of problem...") Revision as of 16:33, 30 July 2013 (view source)Antonia (Talk | contribs) Newer edit → Line 1: Line 1: − ==   Computational Fluid Dynamics module == + ==   Computational Fluid Dynamics module (CFDM) == − === Introduction === + === CFDM Introduction === Line 33: Line 33: In this application the Navier Stokes equations are solved bla bla.. In this application the Navier Stokes equations are solved bla bla.. − === Structure === + === CFDM Structure === − ====  Fluid types ==== + ====  CFDM Fluid types ==== * '''Incompressible''' fluid * '''Incompressible''' fluid aaa aaa Line 46: Line 46: ** Variable yield model ** Variable yield model − ====  Kinematical approaches ==== + ====  CFDM Kinematical approaches ==== * '''Eulerian''' * '''Eulerian''' Line 53: Line 53: * Lagrangian '''PFEM''' (implicitly with free surface) * Lagrangian '''PFEM''' (implicitly with free surface) − ==== Solution strategy  ==== + ==== CFDM Solution strategy  ==== * '''Fractional step''' * '''Fractional step''' Line 62: Line 62: In both cases a Newton Raphson residual based strategy is used for linearizing the problem. In both cases a Newton Raphson residual based strategy is used for linearizing the problem. − ==== Elements ==== + ==== CFDM Elements ==== Linear triangular elements in 2D and linear tetrahedra elements in 3D. Linear triangular elements in 2D and linear tetrahedra elements in 3D. Line 69: Line 69: * OSS * OSS − ==== Boundary conditions ==== + ==== CFDM Boundary conditions ==== * Velocity boundary condition: Inlet of water * Velocity boundary condition: Inlet of water Line 78: Line 78: * Flag variable????? * Flag variable????? − ==== Initial conditions ==== + ==== CFDM Initial conditions ==== Initial condition both in velocity and pressure can be set. Initial condition both in velocity and pressure can be set. − ==== Turbulence models ==== + ==== CFDM Turbulence models ==== The user can chose wether to use or not a turbulence model. The user can chose wether to use or not a turbulence model. Those available in kratos are: Those available in kratos are: Line 87: Line 87: * Spalart-Allmaras * Spalart-Allmaras − ==== HPC ==== + ==== CFDM HPC ==== The code can be run in shared or distributed memory: The code can be run in shared or distributed memory: * OpenMP: * OpenMP: * MPI: * MPI: − ==== Problem parameters ==== + ==== CFDM Problem parameters ==== − ==== Others relevand aspects ==== + ==== CFDM Others relevand aspects ==== − === Benchmarking === + === CFDM Benchmarking === − === Tutorials === + === CFDM Tutorials === − === Contact people === + === CFDM Contact people === − === Akcnowledgements === + === CFDM Akcnowledgements === − == Computational Structural Mechanics module == + == Computational Structural Mechanics module (CSMM) == − === Introduction === + === CSMM Introduction === Examples showing the class of problems that the code can solve (2-4 examples) Examples showing the class of problems that the code can solve (2-4 examples) Line 115: Line 115: The Computational Structural Mechanics module (CSM) is.... The Computational Structural Mechanics module (CSM) is.... − === Application Structure === + === CSMM Application Structure === − ==== Analysis Type ==== + ==== CSMM Analysis Type ==== The available solutions strategies are: The available solutions strategies are: * '''Static''' * '''Static''' Line 132: Line 132: − ==== Elements ==== + ==== CSMM Elements ==== * '''Frame Elements''': * '''Frame Elements''': ** '''Euler-Bernoulli beam'''  short explanation ** '''Euler-Bernoulli beam'''  short explanation Line 199: Line 199: |} |} − ==== Boundary Conditions ==== + ==== CSMM Boundary Conditions ==== Boundary conditions can be set fixing displacements and rotations degrees of freedom. Boundary conditions can be set fixing displacements and rotations degrees of freedom. − ==== Loads ==== + ==== CSMM Loads ==== * Self weight * Self weight Line 211: Line 211: * Distributed load * Distributed load − ==== Constitutive laws ==== + ==== CSMM Constitutive laws ==== The following constitutive laws are available: The following constitutive laws are available: Line 218: Line 218: * ... * ... − ==== HPC ==== + ==== CSMM HPC ==== The code can be run in shared or distributed memory: The code can be run in shared or distributed memory: * OpenMP: * OpenMP: * MPI: * MPI: − ==== Problem parameters ==== + ==== CSMM Problem parameters ==== ... ... − ==== Others relevand aspects ==== + ==== CSMM Others relevand aspects ==== ... ... − === Benchmarking === + === CSMM Benchmarking === Here validation and verification examples should be inserted Here validation and verification examples should be inserted − === Tutorials === + === CSMM Tutorials === − === Contact people === + === CSMM Contact people === − === Akcnowledgements === + === CSMM  Akcnowledgements === − == Convection Diffusion module == + == Convection Diffusion module (CDM)== − === Introduction === + === CDM Introduction === The numerical solution of convection-diffusion transport problems arises in many important applications in science and engineering. These problems occur in many applications such as in the transport of air and ground water pollutants, oil reservoir flow, in the modeling of semiconductors, and so forth. This paper describes the Convection Diffusion Applications for solving this equation. The numerical solution of convection-diffusion transport problems arises in many important applications in science and engineering. These problems occur in many applications such as in the transport of air and ground water pollutants, oil reservoir flow, in the modeling of semiconductors, and so forth. This paper describes the Convection Diffusion Applications for solving this equation. Line 355: Line 355: [/itex] [/itex] − === Structure === + === CDM Structure === ==== Analysis type ==== ==== Analysis type ==== The available solution strategy is: The available solution strategy is: Line 361: Line 361: With this module you can solve both linear and non linear problems. With this module you can solve both linear and non linear problems. − ==== Kinematical approaches ==== + ==== CDM Kinematical approaches ==== Eulerian and Lagrangian approach are available in order to solve the equation. Eulerian and Lagrangian approach are available in order to solve the equation. − ==== Solution strategies ==== + ==== CDM Solution strategies ==== − ==== Elements ==== + ==== CDM Elements ==== Linear triangular elements in 2D and linear tetrahedra elements in 3D. Both elements are stabilized with OSS. Linear triangular elements in 2D and linear tetrahedra elements in 3D. Both elements are stabilized with OSS. Line 373: Line 373: ConvDiff3D ConvDiff3D − ==== Boundary conditions ==== + ==== CDM Boundary conditions ==== Dirichlet boundary condition: Dirichlet boundary condition: Line 386: Line 386: [/itex] [/itex] − ==== Initial conditions ==== + ==== CDM Initial conditions ==== Initial condition in temperature can be set. Initial condition in temperature can be set. − ==== HPC ==== + ==== CDM HPC ==== The code can be run in shared or distributed memory: The code can be run in shared or distributed memory: * OpenMP: * OpenMP: * MPI: * MPI: − ==== Problem parameters ==== + ==== CDM Problem parameters ==== The parameters involved in this problem are: The parameters involved in this problem are: Line 416: Line 416: $h$: convection coefficient $h$: convection coefficient − ==== Others relevand aspects ==== + ==== CDM Others relevand aspects ==== − === Benchmarking === + === CDM Benchmarking === − === Tutorials === + === CDM Tutorials === − === Contact people === + === CDM Contact people === − === Akcnowledgements === + === CDM Akcnowledgements ===

## Computational Fluid Dynamics module (CFDM)

### CFDM Introduction

Examples showing the class of problems that the code can solve (2-4 examples)

Brief description of wat the model means, eventually insert link to the benchmark section...or whatever...

Brief description of what the model means
Brief description of what the model means
Brief description of what the model means

Description of the underlying theory and schematic list of the problems this application can solve.

In this application the Navier Stokes equations are solved bla bla..

### CFDM Structure

#### CFDM Fluid types

• Incompressible fluid

aaa

• Compressible fluid

Constitutive laws

• Newtonian
• No-Newtonian
• Bingham plastics
• Variable yield model

#### CFDM Kinematical approaches

• Eulerian
• With free surface (level set)
• Without free surface
• Lagrangian PFEM (implicitly with free surface)

#### CFDM Solution strategy

• Fractional step
• Monolithic

Different solvers are availables (LINK TO SOLVER SECTION!!!!)

In both cases a Newton Raphson residual based strategy is used for linearizing the problem.

#### CFDM Elements

Linear triangular elements in 2D and linear tetrahedra elements in 3D.

Stabilization techniques availables:

• ASGS
• OSS

#### CFDM Boundary conditions

• Velocity boundary condition: Inlet of water
• Pressure boundary condition: Pressure can be imposed strongly or weakly...
• Wall boundary condition:
• Slip/no slip boundary condition
• Wall law
• Flag variable?????

#### CFDM Initial conditions

Initial condition both in velocity and pressure can be set.

#### CFDM Turbulence models

The user can chose wether to use or not a turbulence model. Those available in kratos are:

• Smagorinsky-Lily
• Spalart-Allmaras

#### CFDM HPC

The code can be run in shared or distributed memory:

• OpenMP:
• MPI:

## Computational Structural Mechanics module (CSMM)

### CSMM Introduction

Examples showing the class of problems that the code can solve (2-4 examples)

Description of the underlying theory and schematic list of the problems this application can solve.

The Computational Structural Mechanics module (CSM) is....

### CSMM Application Structure

#### CSMM Analysis Type

The available solutions strategies are:

• Static
• Dynamic
• Relaxed dynamic

With this module you can solve both linear and non linear problems. In case of non linear problems several methods are available:

• Newton-Raphson
• Newton Raphson with line search
• Arch lenght

Different solvers are availables (LINK TO SOLVER SECTION!!!!)

#### CSMM Elements

• Frame Elements:
• Euler-Bernoulli beam short explanation
• Crisfield truss short explanation
• 2D elements
• Linear triangular element:
• Shell elements:
• Isotropic shell: (change the name with the usual one!!!!)
• Ansotropic shell: (change the name with the usual one!!!!)
• EBST shell: (change the name with the usual one!!!!)
• Membrane element:
• Solid elements:
• Linear tetrahedral element:
Dimension Element Type Kratos name Geometry Nonlinearity Material Type
1D Frame LinearBeamElement Line Isotropic
1D Truss CrisfieldTrussElement Line Large Displacement Isotropic
2D Solid TotalLagrangian 2D Geometries Large Displacement Isotropic
3D Solid TotalLagrangian 3D Geometries Large Displacement Isotropic
Shell ShellIsotropic 3D Triangle Large Displacement Isotropic
Shell ShellAnisotropic 3D Triangle Large Displacement Orthotropic

#### CSMM Boundary Conditions

Boundary conditions can be set fixing displacements and rotations degrees of freedom.

• Self weight
• Punctual force
• Moment
• Face pressure (sign convenction!!!!)

#### CSMM Constitutive laws

The following constitutive laws are available:

• Linear elastic:
• ...

#### CSMM HPC

The code can be run in shared or distributed memory:

• OpenMP:
• MPI:

...

...

### CSMM Benchmarking

Here validation and verification examples should be inserted

## Convection Diffusion module (CDM)

### CDM Introduction

The numerical solution of convection-diffusion transport problems arises in many important applications in science and engineering. These problems occur in many applications such as in the transport of air and ground water pollutants, oil reservoir flow, in the modeling of semiconductors, and so forth. This paper describes the Convection Diffusion Applications for solving this equation.

Theory

Under the assumption of incompressibility, the governing equations are given by

Problem description

$\rho C \frac{\partial T}{\partial t} + \rho C v \cdot \nabla T + \nabla \cdot q = 0$ (1)

$q = -\kappa \nabla \cdot T$ (2)

In the context of mass difussion within a fluid, (1) is is the mass conservation equation and (2) is a contitutive law proposed by Fourier. The notation is standard: ρ is the density, C the heat capacity, κ the thermal conductivity, T is the temperature, v is the velocity field and q is the diffusive flux per unit fluid density.

Remark: systen can be decoupled since we can plug (2) into (1) and solve the scalar equation

$\rho C \frac{\partial T}{\partial t} + \rho Cv \cdot \nabla T - \nabla \cdot (\kappa \nabla \cdot T) = 0$ (3)

Problem statement

Let us consider the transport by convection and diffusion in an open set Ω $\subset \Re^d$(d=2 or 3) \ with piecewise smooth boundary Γ, such that $\Gamma = \Gamma_d \cup \Gamma_N$. The unit outward normal vector to Γ is denoted n. The convection-diffusion initial-boundary value problem can be stated as follows: given a divergence-free velocity field a, the diffusion tensor κ and adequate initial and boundary conditions, find T : $\bar{\Omega} \times \left[ 0, T \left] \rightarrow \Re \right. \right.$ such that

$\rho C \frac{\partial T}{\partial t} + \rho Cv \cdot \nabla T - \nabla \cdot (\kappa \nabla T) = 0 in \Omega \times (0, T)$ (4)

T(x,0) = T0(x)onΩ

$T = T_D on \Gamma_D \times (0, T)$

$k (\nabla T) \cdot n = q on \Gamma_N \times (0, T)$

Space discretization method Multiplying Eq.(4) by a test function W and intehrating on the whole domain Ω the equation reads

$\int_\Omega \rho C \frac{\partial T}{\partial t} W d V + \int_\Omega \rho Cv \cdot \nabla T W d V = \int_\Omega (\nabla \cdot (k \nabla T)) W d V$ (5)

Integratin by parts the right term of Eq.(5) leads to

$\int_\Omega \rho C \frac{\partial T}{\partial t} W d V + \int_\Omega v \cdot \nabla T W d V = - \int_\Omega k \nabla T \cdot \nabla W d V$ (6)

Finite element discretization

The temperature is discretized in the standard finite element method manner as $T = \sum N_i T_i$(7) where Ni are the nodal shape functions. Substituting the finite element approximation (7) into the variational equation () and choosing a Galerling formulation (Wi = Ni) leads to the following equation:

$\rho C M \frac{\partial T}{\partial t} + \rho C S T = - \kappa L T$ (7)

Time discretization method Consider a first-order BDF (that is, the Euler implicit scheme)

$\frac{\partial T}{\partial t}=\frac{(T^{n + 1} - T^n)}{\Delta t}$

or a second-order BDF


$\frac{\partial T}{\partial t}= \frac{1}{2} \frac{(3 \times T^{n + 1} - 4 \times T^n + T^{n-1})}{\Delta t}$

### CDM Structure

#### Analysis type

The available solution strategy is:

   Dynamic


With this module you can solve both linear and non linear problems.

#### CDM Kinematical approaches

Eulerian and Lagrangian approach are available in order to solve the equation.

#### CDM Elements

Linear triangular elements in 2D and linear tetrahedra elements in 3D. Both elements are stabilized with OSS.

ConvDiff2D

ConvDiff3D

#### CDM Boundary conditions

Dirichlet boundary condition:

$T = T_D on \Gamma_D \times (0, T)$

Neumann boundary conditions: $k (\nabla T) \cdot n = q on \Gamma_N \times (0, T)$

#### CDM Initial conditions

Initial condition in temperature can be set.

#### CDM HPC

The code can be run in shared or distributed memory:

• OpenMP:
• MPI:

#### CDM Problem parameters

The parameters involved in this problem are:

ρ : Density

C :heat capacity

κ: thermal conductivity

v : velocity field

q: diffusive flux per unit fluid density.

T a: ambient temperature.

σ: Stefen Boltzmann constant

e: emissivity

h: convection coefficient