source: trunk/sample/miscellaneous/sample_discontinuities.mso @ 391

Last change on this file since 391 was 367, checked in by Argimiro Resende Secchi, 16 years ago

Another sample file for discontinuities.
File size: 4.4 KB
Line 
1#*-------------------------------------------------------------------
2* EMSO Model Library (EML) Copyright (C) 2004 - 2007 ALSOC.
3*
4* This LIBRARY is free software; you can distribute it and/or modify
5* it under the therms of the ALSOC FREE LICENSE as available at
6* http://www.enq.ufrgs.br/alsoc.
7*
8* EMSO Copyright (C) 2004 - 2007 ALSOC, original code
9* from http://www.rps.eng.br Copyright (C) 2002-2004.
10* All rights reserved.
11*
12* EMSO is distributed under the therms of the ALSOC LICENSE as
13* available at http://www.enq.ufrgs.br/alsoc.
14*
15*--------------------------------------------------------------------
16* FlowSheet showing how to use the 'if' conditional.
17* Ref: M.B. Carver (1978). Mathematics and Computers in Simulation
18*      v.20, pp.190-196
19*--------------------------------------------------------------------
20* Author: Arge
21* $Id: $
22*--------------------------------------------------------------------*#
23
24FlowSheet Carver1
25        VARIABLES
26        x as Real;
27        u as Real;
28
29        EQUATIONS
30        u = sin(8*asin(1)*time*'rad/s');
31       
32        if u > 0 then
33                diff(x) * 's' = x^2;
34        else
35                diff(x) * 's' = 0;
36        end
37
38        INITIAL
39        x = 0.1;
40       
41        OPTIONS
42#       TimeStep = 0.9; # for statistical purpose (Detailed Output)
43        TimeStep = 0.01; # for graphical purpose
44        TimeEnd = 0.9;
45        TimeUnit = 's';
46        DAESolver  (File = "dasslc",
47                                RelativeAccuracy = 1e-6,
48#                               RelativeAccuracy = 1e-4,
49                                AbsoluteAccuracy = 1e-6);
50end
51
52FlowSheet Carver2
53        PARAMETERS
54        eps as Real (Default=1e-5);
55       
56        VARIABLES
57        x as Real;
58        u as Real;
59        n as Real;
60
61        EQUATIONS
62        u = sin(8*asin(1)*time*'rad/s');
63       
64        n = 0.5 * (1 + tanh(-u/eps)); # regularization function
65       
66        diff(x) * 's' = x^2 * (1-n);
67
68        INITIAL
69        x = 0.1;
70       
71        OPTIONS
72#       TimeStep = 0.9; # for statistical purpose (Detailed Output)
73        TimeStep = 0.01; # for graphical purpose
74        TimeEnd = 0.9;
75        TimeUnit = 's';
76        DAESolver  (File = "dasslc",
77                                RelativeAccuracy = 1e-6,
78#                               RelativeAccuracy = 1e-4,
79                                AbsoluteAccuracy = 1e-6);
80end
81
82FlowSheet Carver3
83        PARAMETERS
84        eps as Real (Default=1e-5);
85       
86        VARIABLES
87        x as Real;
88        u as Real;
89        n as Real;
90
91        EQUATIONS
92        u = sin(8*asin(1)*time*'rad/s');
93       
94        n = 0.5 * (1-(u/eps)/(sqrt(1+(u/eps)^2))); # regularization function
95       
96        diff(x) * 's' = x^2 * (1-n);
97
98        INITIAL
99        x = 0.1;
100       
101        OPTIONS
102#       TimeStep = 0.9; # for statistical purpose (Detailed Output)
103        TimeStep = 0.01; # for graphical purpose
104        TimeEnd = 0.9;
105        TimeUnit = 's';
106        DAESolver  (File = "dasslc",
107                                RelativeAccuracy = 1e-6,
108#                               RelativeAccuracy = 1e-4,
109                                AbsoluteAccuracy = 1e-6);
110end
111
112FlowSheet Carver4
113        VARIABLES
114        x as Real;
115        u as Real;
116
117        EQUATIONS
118       
119        if x > 0.5 then
120                u = 0.5;
121        else if x < -0.5 then
122                        u = 0.2;
123                 else
124                        u = 1.0;
125                 end
126        end
127
128        diff(x) * 's' = -u*x + sin(time*'rad/s');
129
130        INITIAL
131        x = 0.0;
132
133        OPTIONS
134        TimeStart = 3.1415/4;
135#       TimeStep = 12.5-3.1415/4; # for statistical purpose (Detailed Output)
136        TimeStep = 0.01; # for graphical purpose
137        TimeEnd = 12.5;
138        TimeUnit = 's';
139        DAESolver  (File = "dasslc",
140                                RelativeAccuracy = 1e-4,
141                                AbsoluteAccuracy = 1e-6);
142end
143
144FlowSheet Carver5
145        PARAMETERS
146        eps as Real (Default=1e-5);
147       
148        VARIABLES
149        x as Real;
150        u as Real;
151        n1 as Real;
152        n2 as Real;
153       
154        EQUATIONS
155
156        n1 = 0.5 * (1 + tanh((x-0.5)/eps)); # regularization function
157        n2 = 0.5 * (1 + tanh(-(0.5+x)/eps)); # regularization function
158
159        u = n1*(1-n2)*0.5+n2*(1-n1)*0.2+(1-n1)*(1-n2);
160
161        diff(x) * 's' = -u*x + sin(time*'rad/s');
162
163        INITIAL
164        x = 0.0;
165
166        OPTIONS
167        TimeStart = 3.1415/4;
168#       TimeStep = 12.5-3.1415/4; # for statistical purpose (Detailed Output)
169        TimeStep = 0.01; # for graphical purpose
170        TimeEnd = 12.5;
171        TimeUnit = 's';
172        DAESolver  (File = "dasslc",
173                                RelativeAccuracy = 1e-4,
174                                AbsoluteAccuracy = 1e-6);
175end
176
177FlowSheet Carver6
178        PARAMETERS
179        eps as Real (Default=1e-5);
180       
181        VARIABLES
182        x as Real;
183        u as Real;
184        n1 as Real;
185        n2 as Real;
186       
187        EQUATIONS
188
189        n1 = 0.5 * (1+((x-0.5)/eps)/(sqrt(1+((x-0.5)/eps)^2))); # regularization function
190        n2 = 0.5 * (1-((0.5+x)/eps)/(sqrt(1+((0.5+x)/eps)^2))); # regularization function
191
192        u = n1*(1-n2)*0.5+n2*(1-n1)*0.2+(1-n1)*(1-n2);
193
194        diff(x) * 's' = -u*x + sin(time*'rad/s');
195
196        INITIAL
197        x = 0.0;
198
199        OPTIONS
200        TimeStart = 3.1415/4;
201#       TimeStep = 12.5-3.1415/4; # for statistical purpose (Detailed Output)
202        TimeStep = 0.01; # for graphical purpose
203        TimeEnd = 12.5;
204        TimeUnit = 's';
205        DAESolver  (File = "dasslc",
206                                RelativeAccuracy = 1e-4,
207                                AbsoluteAccuracy = 1e-6);
208end
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