{"id":3403,"date":"2024-11-13T22:05:26","date_gmt":"2024-11-13T14:05:26","guid":{"rendered":"http:\/\/81.70.49.155\/?p=3403"},"modified":"2024-11-13T22:05:26","modified_gmt":"2024-11-13T14:05:26","slug":"%e6%89%8b%e6%90%93%e8%b6%85%e5%a3%b0%e8%81%9a%e7%84%a6matlab%e5%8e%9f%e5%88%9b","status":"publish","type":"post","link":"http:\/\/81.70.49.155\/?p=3403","title":{"rendered":"\u624b\u6413\u8d85\u58f0\u805a\u7126[MATLAB\u539f\u521b]"},"content":{"rendered":"

\n\t $\"\"$ \n<\/p>\n

\n\tclc;clear;close
\na=0.00005; %\u6ce2\u901f
\ndx=0.002; dy=0.002; %\u7a7a\u95f4\u6b65\u957fc
\ndt=0.01; %\u65f6\u95f4\u6b65\u957f
\nLx=0.7; Ly=1; %\u6c42\u89e3\u57df
\nTi=150; %\u4f20\u64ad\u65f6\u95f4
\nU0=0.5; %\u58f0\u5f3a
\nx=0:dx:Lx;y=0:dy:Ly;t=0:dt:Ti;
\n[X,Y]=meshgrid(x,y);
\nnx=length(x); ny=length(y);
\nU=zeros(length(x),length(y),2); %\u5b58\u653e\u7ed3\u679c
\ni=1;j=1;k=2; %\u521d\u59cb\u5316\u53d8\u91cf
\nU(:,1,1)=U0;U(:,1,2)=U0;
\nbeta=0.005;K=1\/(1+beta*dt);%\u8870\u51cf\u7cfb\u6570\u8bbe\u7f6e<\/p>\n

%\u627e\u5230\u5de6\u8fb9\u7684\u5f27\u9762==============================
\nUcx=Lx\/2; Ucy=Ly\/2;
\nM=(((X-Ucx).^2+(Y-Ucy).^2)<(Ly\/2-dx)^2);
\nM=M+M([end,1:end-1],:)
\n[Xbw,Ybw]=find((Y<Ly\/2).*(M==1));<\/p>\n

%\u4e3b\u5faa\u73af==============================
\nfor it=dt:dt:Ti
\n i=1;k=k+1; %\u4e0b\u6807\u53d8\u91cf
\n for ix=dx:dx:Lx-dx
\n i=i+1; j=1; %\u4e0b\u6807\u53d8\u91cf
\n for mk=1:length(Ybw); U(mk,1:Xbw(mk),k)=0;end %\u5de6\u8fb9\u754c
\n U(i,ny,k)=U(i,ny-1,k); %\u53f3\u8fb9\u754c
\n for iy=dy:dy:Ly-dy
\n j=j+1;
\n U(1,j,k)=0*U(3,j,k); U(nx,j,k)=0*U(nx-2,j,k); %\u4e0a\u4e0b\u8fb9\u754c
\n U(i,j,k)=K*(a*(U(i,j-1,k-1)-2*U(i,j,k-1)+U(i,j+1,k-1))\/dx^2*dt^2+...
\n K*(a*(U(i-1,j,k-1)-2*U(i,j,k-1)+U(i+1,j,k-1))\/dy^2*dt^2)+...
\n +(2+beta*dt)*U(i,j,k-1)-U(i,j,k-2));
\n end
\n
\n for mk=1:length(Ybw) %\u6ce2\u52a8\u6e90
\n U(Ybw(mk),Xbw(mk),k)=sin(it);
\n end
\n end
\n% \u540e\u5904\u7406==============================
\nif mod(k,50)==0;Ut=U(:,:,k);imagesc(Ut,[-5,5]);
\ncolormap jet; axis equal; axis off;%\u540e\u5904\u7406
\ndrawnow;k
\nend
\nend<\/p>\n","protected":false},"excerpt":{"rendered":"