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Development and Application of a Pressure-based CFD Parallel Computing Algorithm
H.M. Shang, Y.S. Chen, in Parallel Computational Fluid Dynamics 1998, 1999
3.1 Domain Decomposition
In the domain decomposition approach, blocks containing large grid points can be subdivided to subblocks, and hence one or several blocks/subblocks can be assigned to each processor. Maximum efficiency can be achieved by giving each processor the amount of work to do according its CPU speed and memory size. Therefore, the same code runs on all processors on its own set of data. Exchange of data between processors and/or storage is necessary to enforce the boundary conditions at the divided interfaces.
An example of square 2D computational domain and mesh is shown in Fig. 1. To use 4 same speed processors for parallel computing, 4 equal blocks are divided as shown in Fig. 2. The divided interfaces present zonal boundaries in multi-block FDNS code. The algorithm employed in FDNS code for updating zonal boundary conditions has be re-constructed to allow the data exchange between each twin interfaces at one divided interface during each solution iteration.
Read full chapterProgrammatic Modeling Basics
You can perform most Simulink® modeling basics programmatically at the MATLAB® Command Window, such as creating models, adding blocks to models, and setting parameters. These examples show some of these commands and how you can use them.
Load a Model
Loading a model brings it into memory but does not open it inthe Simulink Editor for editing. After you load a model, youcan work with it programmatically. You can use the Simulink Editorto edit the model only if you open the model.
To load a system, use the load_system
command.For example, to load the vdp
model, at the MATLAB commandprompt, enter:
Create a Model and Specify Parameter Settings
You can write a function that creates a model and uses the settingsthat you prefer. For example, this function creates a model that hasa green background and uses the ode3 solver:
Programmatically Load Variables When Opening a Model
If you assign a variable as a block parameter value, you must define the value of the variable in the model. See Create a Model. You can define the variable programmatically using the PreloadFcn
callback with the set_param
function. Use the function in this form:
expression
is a MATLAB command or a MATLAB scripton your MATLAB search path. This command sets the model PreloadFcn
callbackto the value that you specify. Save the model to save the setting.
For example, when you define the variables in a MATLAB script loadvar.m
forthe model modelname.slx
, use this command:
K
the value 15
,use this command:After you save the model, the PreloadFcn
callbackexecutes when you next open the model.
Programmatically Add and Connect Blocks
This example shows how to use functionsto add blocks and connect the blocks programmatically. Once you haveadded blocks to the model, you use three different approaches to connectthem: routed lines, port handles, and port IDs. Routed lines allowyou to specify the exact (x,y) coordinates of all connecting linesegment endpoints. Port handles and port IDs allow connecting linesto block ports without having to know the port location coordinates.
Createand open a blank model named ‘mymodel
’.
Addblocks, including a subsystem block. Use the position
arrayin the set_param
function to set the size and positionof the blocks. Set the upper left and lower right block corners using(x,y) coordinates.
Inside Subsystem1
, deletethe default connection between In1
and Out1
.Also, add a second input port by copying and renaming In1
fromthe block library.
Repositionthe internal input and output port blocks inside Subsystem1
.
Insert and position an Add
blockinside Subsystem1
.
Next, add lines to connect all the blocks inthe model. Start by connecting the Sine1
and Pulse1
blocksusing routed lines.
Find the (x,y) coordinates of the Sine1
outputport.
Sine1_Port = get_param('mymodel/Sine1','PortConnectivity')
get_param
shows that theport Position is [185 100].
Find the (x,y) coordinatesof the Pulse1
output port.
Pulse1_Port= get_param('mymodel/Pulse1','PortConnectivity')
get_param
showsthat the port position is [185 220].
Connect the outputof Sine1
to the first input of Subsystem1
usingthree segments of routed line.
Connect the output of Pulse1
tothe second input of Subsystem1
using three segmentsof routed line.
Use get_param
to get theport handles of the blocks being connected. Then use the block porthandles to connect the output of Subsystem1
tothe input of Scope1
.
Useport names and IDs to connect the Add1
block inside Subsystem1
tothe subsystem inputs and outputs. Simulink uses the most directpath to connect the ports.
Name a Signal Programmatically
Select the block that is the source for the signalline.
Use
get_param
to assign the porthandle of the currently selected block to the variable p.Useget_param
to assign the name of the signalline from that port to the variable l. Then setthe name of the signal line to's9'
.
Arrange Model Layouts Automatically
You can use the Simulink.BlockDiagram.arrangeSystem
command to lay out your model. This command aligns input blocks on the left, output blocks on the right, and model elements in columns between the inputs and outputs. The command affects only one layer at a time.
You can use the Simulink.BlockDiagram.routeLine
command to route existing lines of your model. Routing existing lines improves line route quality and avoids overlaps of a line with other lines and obstacles in the model.
While you can use these commands with any open model, they are particularly useful with models you build programmatically. For an example, see Arrange Programmatically Populated Model.
Open the Same Model in Multiple Windows
When you open a model, the model appears in a Simulink Editorwindow. For example, if you have one model open and then you opena second model, the second model appears in a second window.
To open the same model in two Simulink Editor windows,at the MATLAB command prompt, enter the open_system
commandand use the window
argument. For example, if youhave the vdp
model open, to open another instanceof the vdp
model, enter:
Locate Diagram Elements Using Highlighting
To highlight a block, line, port, or annotation in an open model, use hilite_system
.
Specify Colors Programmatically
Approaching Blocks For A
You can use the set_param
command at the MATLAB commandline or in a MATLAB program to set parameters that determinethe background color of a diagram and the background color and foregroundcolor of diagram elements. The following table summarizes the parametersthat control block diagram colors.
Approaching Blocks Minecraft
Parameter | Determines |
---|---|
| Block diagram background |
| Block and annotation background |
| Block and annotation foreground |
Set the color parameter to either a named color or an RGB value.
Named color:
'automatic'
,'black'
,'white'
,'red'
,'green'
,'blue'
,'cyan'
,'magenta'
,'yellow'
,'gray'
,'lightBlue'
,'orange'
,'darkGreen'
RGB value:
'[r,g,b]'
where
r
,g
, andb
are the red, green, and blue components of the color normalized to the range0.0
to1.0
.
For example, the following command sets the background colorof the currently selected system or subsystem to a light green color:
See Also
Approaching Black Music
add_block
| add_line
| delete_block
| delete_line
| gcb
| get_param
| hilite_system
| load_system
| new_system
| open_system
| save_system
| set_param
| Simulink.BlockDiagram.routeLine