On Mon, Dec 12, 2016 at 3:50 PM, darkstyle86 <address@hidden> wrote:
Great! That worked! Thank you. Now that I got using a constant value to initialize temperatures out of the way, my real goal is to use a 1-D temperature solution to initialize the temperatures everywhere for the 2-D solution and plot the 1-D solution on the same graph as the 2-D solution.
1) To do the initialization, I'm using the following lines (similar lines to what I provided earlier):
"% Initialization of temperatures using 1-D analytical solution
for i=1:M
for j=1:N T(i,j)=Texact; end
end"
this is just a guess but:
Would
for i=1:M
for j=1:N T(i,j)=Texact(j); end
end"
work?
As a reminder, my y vector is defined with"for j=1:N y(j)=dy*j; end", and
my 1-D solution Texact is defined as "Texact=Tinf+(Q*(L^0.5)*besseli(0,(2*m*y.^0.5)))/(k*m* besseli(1,(2*m*L^0.5)));"
When I run the code, I'm getting the following error:
"error: Project_solver_w_areas: A(I,J,...) = X: dimensions mismatch
error: called from
Project_solver_w_areas at line 67 column 21"
Line 67 is the line "for j=1:N T(i,j)=Texact; end"
I'm sure the problem has to do with Texact only being based on a single column y vector but I don't know how to get around this.
2) When I try to plot the 2-D solution T(i,j) (using the highlighted code below), I'm getting the attached plot. I'm assuming this is because Octave is plotting the curve (as a function of y(j)) for every value of i. Is this as easy changing my plot function to only plot T(1,j) or whatever value of i I want? If so, how do I do this (so that only one curve is shown)?
Thank you for your continued help, you're a lifesaver.
________________________________
From: Doug Stewart-4 [via Octave] <ml-node+s1599824n4681004h22@n4.nabble.com >
Sent: Monday, December 12, 2016 6:50 AM
To: darkstyle86
Subject: Re: Octave Error with Bounds
On Mon, Dec 12, 2016 at 1:52 AM, darkstyle86 <[hidden email]</user/SendEmail.jtp?type=node&node=4681004&i=0>> wrote: From: Doug Stewart-4 [via Octave] <[hidden email]</user/SendEmail.jtp?
Good! When I add c(N)=0 to the code, the code progresses but the error changes to:
error: Project_solver_w_areas: A(I,J): row index out of bounds; value 41 out of bound 40
error: called from
Project_solver_w_areas at line 71 column 13
I think it has to do with how I'm initializing the temperatures values in T(i,j) under "Initialization of temperatures using 1-D analytical solution". But it's a similar problem with bounds. Any ideas here? I tried adding a(1)=0 to the code and that didn't help. Thank you.
________________________________
type=node&node=4681004&i=1>>
Sent: Friday, December 9, 2016 10:26 PM
To: darkstyle86
Subject: Re: Octave Error with Bounds
On Fri, Dec 9, 2016 at 8:24 PM, darkstyle86 <[hidden email]</user/SendEmail.jtp?type=node&node=4680990&i=0>> wrote: for j=1:N y(j)=dy*j; end
Hello, there may be a post that helps me with my exact problem but I haven't
found it yet, so please direct me to that post if you know of it. Thank
you. I'm putting a code together to determine the 2-D temperature
distribution in a triangular fin.
My base code is as follows:
M=41; % number of grid points in x-direction
N=31; % number of grid points in y-direction
dx=w/(M-1); % delta x
dy=L/(N-1); % delta y
for i=1:M x(i)=dx*i; end
[hidden email]</user/SendEmail.jtp?h=2*C*w^-0.5;
% Initialization of temperatures using 1-D analytical solution
for j=1:N
for i=2:(M-1) T(i,j)=Tinf; end
change this
for i=2:(M-1) T(i,j)=Tinf; end
to
for i=2:(M) T(i,j)=Tinf; end
end
%
for iter=1:10
% forward sweep
for i=2:(M-1)
b(1)=-(k*dx*t/L*dy/2*dx+2*k*dy*1/8*t/L*dy^2+h*dx*dy*dx* hyp/L*dy);
c(1)=k*dx*t/L*dy/2*dx;
d(1)=-k*dy*1/8*t/L*dy^2*T(i+1,j)-k*dy*1/8*t/L*dy^2*T(i-1,j)- h*dx*dy*dx*hyp/L*dy*Tinf;
for j=2:(N-1)
a(j)=k*dx*t/L*dy*(j-1.5)*dx;
b(j)=-(k*dx*t/L*dy*(j-0.5)*dx+k*dx*t/L*dy*(j-1.5)*dx+2*k*dy* t/L*(j-1)*(dy^2)+h*dx*dy*2*dx* hyp/L*dy);
c(j)=k*dx*t/L*dy*(j-0.5)*dx;
d(j)=-k*dy*t/L*(j-1)*(dy^2)*T(i+1,j)-k*dy*t/L*(j-1)*(dy^2)* T(i-1,j)-h*dx*dy*2*dx*hyp/L* dy*Tinf;
end
a(N)=k*dx*t/L*dy*(j-1.5)*dx;
b(N)=-(k*dx*t/L*dy*(N-1.5)*dx+2*k*dy*1/2*(t+(t/L)*(L-(dy/2)) )*dy/2+h*dx*dy*dx*hyp/L*dy);
d(N)=-k*dy*1/2*(t+(t/L)*(L-(dy/2)))*dy/2*T(i-1,j)-k*dy*1/ 2*(t+(t/L)*(L-(dy/2)))*dy/2*T( i+1,j)-Q*dx*dy*t/L*(N-1)*dy* dx-h*dx*dy*dx*hyp/L*dy*Tinf;
you should have a c(N)= something here.
Ttemp=TDMAsolver(a,b,c,d);
for j=1:N T(i,j)=Ttemp(j); end
end
end
The function TDMAsolver I am using is the following code:
function x = TDMAsolver(a,b,c,d)
%a, b, c are the column vectors for the compressed tridiagonal matrix, d is
the right vector
n = length(b); % n is the number of rows. The first row is i=1.
% Modify the first-row coefficients
c(1) = c(1) / b(1); % Division by zero risk.
d(1) = d(1) / b(1); % Division by zero would imply a singular matrix.
for i = 2:n
id = 1 / (b(i) - c(i-1) * a(i)); % Division by zero risk.
c(i) = c(i)* id; % Last value calculated is redundant.
d(i) = (d(i) - d(i-1) * a(i)) * id;
end
% Now back substitute.
x(n) = d(n);
for i = n-1:-1:1
x(i) = d(i) - c(i) * x(i + 1);
end
The error I'm getting when I run my base code is:
"error: TDMAsolver: A(I): index out of bounds; value 31 out of bound 30
error: called from
TDMAsolver at line 11 column 10
Project_solver_w_areas at line 80 column 14"
I can't figure out what the problem is. Does anyone have any ideas? Thank
you.
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