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odeSolver.jl
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### A Pluto.jl notebook ###
# v0.19.38
using Markdown
using InteractiveUtils
# ╔═╡ ce035857-9ec3-4942-8ff4-bc3f39cc5687
begin
using DifferentialEquations
using Plots
using FastGaussQuadrature
using DelimitedFiles
#using Integrals
using Trapz
using Bessels
using HDF5
using QuadGK
using Printf
end
# ╔═╡ 588376cc-c654-4782-ad4e-6ea9fcb4491f
begin
N=34
Rd=4.282;
rhat=range(0,Rd,500);
eps=1.0;
k1=16.4706/Rd;
ss=0.004;
a0=eps/k1;
epsn=a0/Rd;
b_d=0.8;b=b_d/Rd;
r=rhat/Rd;
j1 = approx_besselroots(1,N);
t_hat=0:0.001:.485*6;
gg=981;
t0n=t_hat*sqrt(gg/Rd);
dt=0.001*sqrt(gg/Rd);
Boc = 222;
rr = 4;
rri = 0.25;
Bo = rr^2*Boc;
kn = j1[1:N];
ω = sqrt.(kn.*(1 .+ kn.^2*ss));
end
# ╔═╡ afcd3f04-b970-4e6d-9741-22ce37cdbf46
(ω,kn)
# ╔═╡ 60e0b33e-5c32-479c-ba10-ce6975cc9e8f
begin
x0=zeros(2*N,1);
for n=1:N
fun(x)=-epsn*x.*(1-(x/b).^2).*exp(-(x/b).^2).*besselj.(0,kn[n].*x);
den(x)= x.*besselj.(0,kn[n]*x).*besselj.(0,kn[n]*x);
x0[n]=quadgk(fun,0,1,rtol=1e-3)[1]/quadgk(den,0,1,rtol=1e-3)[1];
end
end
# ╔═╡ 30ce9fb5-4c20-4bb4-bde9-276a8d328e4e
function nayfeh!(du, u, p, t)
print("time=%f\n",float(t))
for n = 1:N
sum = 0;
Ga=h5read("./hd5_newdir/Ga_$n.h5","mygroup2/Ga")
Ch=h5read("./hd5_newdir/Ch_$n.h5","mygroup2/Ch")
sum=u[1:N,1]'*Ga[1:N,1:N]*(-(ω .^2).*u[1:N,1])+u[N+1:2*N]'*Ch[1:N,1:N]*u[N+1:2*N];
du[n]=u[n+N];
du[n+N]=-ω[n]^2*u[n]-sum;
end
end
# ╔═╡ 82c6c87f-461a-4a56-b3cf-ade52a153ec6
# ╔═╡ 469f95b9-583d-420c-a1b2-b6c7f7d5967f
begin
tspan=(0,t0n[end]);
prob=ODEProblem(nayfeh!, x0, tspan)
sol=solve(prob, saveat = dt);
end
# ╔═╡ f981ce70-ad30-4c82-919e-33cd4292e153
writedlm("new_nonlin.dat", sol.u)
# ╔═╡ cca2edd0-685b-47b0-9a42-aeb67a3b6b00
# ╠═╡ disabled = true
#=╠═╡
begin
etan = zeros(length(Y),1);
p=plot()
end
╠═╡ =#
# ╔═╡ 4ce6083f-68a3-4d59-a811-b58675af884f
# ╠═╡ disabled = true
#=╠═╡
begin
for t in 1:length(sol.t)
for ss in 1:length(Y)
summ=0;
for ll in 1:N
summ = summ+ besselj.(0,kn[ll]*Y[ss])*sol.u[t][ll];
end
etan[ss]=summ
end
p= plot(Y,etan)
end
display(p)
end
╠═╡ =#
# ╔═╡ 2c0df57e-c3bd-4800-939b-540d9080c21c
# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
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[compat]
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DelimitedFiles = "~1.9.1"
DifferentialEquations = "~7.12.0"
FastGaussQuadrature = "~0.5.1"
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"""
# ╔═╡ 00000000-0000-0000-0000-000000000002
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