From 8c21730325446e38c598765c8a7f1637c15aa235 Mon Sep 17 00:00:00 2001
From: Aadi B <122440845+aadi-bh@users.noreply.github.com>
Date: Fri, 24 Nov 2023 23:23:58 +0530
Subject: [PATCH] Burgers timing bug exists. Moving on

---
 .gitignore                                    |   2 +-
 _site/.DS_Store                               | Bin 6148 -> 0 bytes
 _site/data/linadv_exp2/1024.txt               |   2 ++
 _site/data/linadv_exp2/128.txt                |   2 ++
 _site/data/linadv_exp2/16.txt                 |   2 ++
 _site/data/linadv_exp2/2048.txt               |   2 ++
 _site/data/linadv_exp2/256.txt                |   2 ++
 _site/data/linadv_exp2/32.txt                 |   2 ++
 _site/data/linadv_exp2/512.txt                |   2 ++
 _site/data/linadv_exp2/64.txt                 |   2 ++
 ..._tooth-cesaro.png => saw_tooth-cesaro.png} | Bin
 ...ential2.png => saw_tooth-exponential2.png} | Bin
 ...ooth-lanczos.png => saw_tooth-lanczos.png} | Bin
 ...-no_filter.png => saw_tooth-no_filter.png} | Bin
 ...raisedcos.png => saw_tooth-raised_cos.png} | Bin
 common.py                                     |   2 +-
 main.py                                       |   6 +++---
 op.py                                         |  19 +++++++++++++++---
 18 files changed, 37 insertions(+), 8 deletions(-)
 delete mode 100644 _site/.DS_Store
 create mode 100644 _site/data/linadv_exp2/1024.txt
 create mode 100644 _site/data/linadv_exp2/128.txt
 create mode 100644 _site/data/linadv_exp2/16.txt
 create mode 100644 _site/data/linadv_exp2/2048.txt
 create mode 100644 _site/data/linadv_exp2/256.txt
 create mode 100644 _site/data/linadv_exp2/32.txt
 create mode 100644 _site/data/linadv_exp2/512.txt
 create mode 100644 _site/data/linadv_exp2/64.txt
 rename _site/plots/linadv_filters/{linadv-viscFalse-1.0-saw_tooth-cesaro.png => saw_tooth-cesaro.png} (100%)
 rename _site/plots/linadv_filters/{linadv-viscFalse-1.0-saw_tooth-exponential2.png => saw_tooth-exponential2.png} (100%)
 rename _site/plots/linadv_filters/{linadv-viscFalse-1.0-saw_tooth-lanczos.png => saw_tooth-lanczos.png} (100%)
 rename _site/plots/linadv_filters/{linadv-viscFalse-1.0-saw_tooth-no_filter.png => saw_tooth-no_filter.png} (100%)
 rename _site/plots/linadv_filters/{linadv-viscFalse-1.0-saw_tooth-raisedcos.png => saw_tooth-raised_cos.png} (100%)

diff --git a/.gitignore b/.gitignore
index 0add12e..666f4a0 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,2 +1,2 @@
-.DS_Store
+**.DS_Store
 **__pycache__
diff --git a/_site/.DS_Store b/_site/.DS_Store
deleted file mode 100644
index d86e87fe42ae36eae90cc64b5a89f71bc8f52afe..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

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diff --git a/_site/data/linadv_exp2/1024.txt b/_site/data/linadv_exp2/1024.txt
new file mode 100644
index 0000000..184423e
--- /dev/null
+++ b/_site/data/linadv_exp2/1024.txt
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diff --git a/_site/data/linadv_exp2/64.txt b/_site/data/linadv_exp2/64.txt
new file mode 100644
index 0000000..632f4a4
--- /dev/null
+++ b/_site/data/linadv_exp2/64.txt
@@ -0,0 +1,2 @@
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diff --git a/_site/plots/linadv_filters/linadv-viscFalse-1.0-saw_tooth-cesaro.png b/_site/plots/linadv_filters/saw_tooth-cesaro.png
similarity index 100%
rename from _site/plots/linadv_filters/linadv-viscFalse-1.0-saw_tooth-cesaro.png
rename to _site/plots/linadv_filters/saw_tooth-cesaro.png
diff --git a/_site/plots/linadv_filters/linadv-viscFalse-1.0-saw_tooth-exponential2.png b/_site/plots/linadv_filters/saw_tooth-exponential2.png
similarity index 100%
rename from _site/plots/linadv_filters/linadv-viscFalse-1.0-saw_tooth-exponential2.png
rename to _site/plots/linadv_filters/saw_tooth-exponential2.png
diff --git a/_site/plots/linadv_filters/linadv-viscFalse-1.0-saw_tooth-lanczos.png b/_site/plots/linadv_filters/saw_tooth-lanczos.png
similarity index 100%
rename from _site/plots/linadv_filters/linadv-viscFalse-1.0-saw_tooth-lanczos.png
rename to _site/plots/linadv_filters/saw_tooth-lanczos.png
diff --git a/_site/plots/linadv_filters/linadv-viscFalse-1.0-saw_tooth-no_filter.png b/_site/plots/linadv_filters/saw_tooth-no_filter.png
similarity index 100%
rename from _site/plots/linadv_filters/linadv-viscFalse-1.0-saw_tooth-no_filter.png
rename to _site/plots/linadv_filters/saw_tooth-no_filter.png
diff --git a/_site/plots/linadv_filters/linadv-viscFalse-1.0-saw_tooth-raisedcos.png b/_site/plots/linadv_filters/saw_tooth-raised_cos.png
similarity index 100%
rename from _site/plots/linadv_filters/linadv-viscFalse-1.0-saw_tooth-raisedcos.png
rename to _site/plots/linadv_filters/saw_tooth-raised_cos.png
diff --git a/common.py b/common.py
index ac3fc11..bceb07f 100644
--- a/common.py
+++ b/common.py
@@ -90,7 +90,7 @@ def unpad(c, m):
     return r
 
 def freqs(n):
-    return fftfreq(n, 1./ (n))
+    return fftfreq(n, 1.0/n)
 
 def cgrid(n, xmin=0, xmax=2*np.pi):
     dx = (xmax - xmin) / n
diff --git a/main.py b/main.py
index a2b0d71..6e1e82d 100644
--- a/main.py
+++ b/main.py
@@ -87,10 +87,9 @@
         x = cgrid(N)
         k = freqs(N)
         kk = freqs(NN)
-        p = 0
-        args = (N, M)
+        p = 2
+        args = (N, M, create_filter(kk, sigma, p=p))
         u_hat_init = fft(initial_condition(x)) 
-        S_half, S = visc(dt, k, eps = 1e-2)
 
         times = [0]
         u = [u_hat_init]
@@ -102,6 +101,7 @@
                              args = args)
             print(output.message)
             times, u = output.t, output.y.transpose()
+        # S_half, S = visc(dt, k, eps = 1e-2)
         # times, u = elrk4([S_half, S], rhs, u_hat_init, (0, tf), dt, args)
 
         ## Apply filter
diff --git a/op.py b/op.py
index 0f560d5..7eee9a0 100644
--- a/op.py
+++ b/op.py
@@ -7,7 +7,16 @@
 from common import *
 
 
-def linadv(t, u_hat, N, M, a= 2 * pi): 
+def to_filter(uh, tol=1.0e-2):
+    uh = fftshift(uh)
+    l2 = np.sum(np.abs(uh)**2)
+    N = len(uh)
+    M = N//6
+    ends = np.r_[uh[:M], uh[-M:]]
+    el2 = np.sum(np.abs(ends)**2)
+    return el2/l2
+
+def linadv(t, u_hat, N, M, filter, a= 2 * pi): 
     NN = (2 * M//2) + N
     u_hat = pad(u_hat, M//2)
     kk = freqs(NN)
@@ -15,9 +24,13 @@ def linadv(t, u_hat, N, M, a= 2 * pi):
     nonlinear *= a
     return unpad(mask(nonlinear), M//2)
 
-def burgers(t, u_hat, N, M, a=1):
-    NN = (2 * M//2) + N
+def burgers(t, u_hat, N, M, filter, a=1):
     u_hat = pad(u_hat, M//2)
+    res = to_filter(u_hat)
+    if res > 0.5:
+        u_hat *= filter
+        print("Applied filter")
+    NN = len(u_hat)
     u = ifft(u_hat)
     kk = freqs(NN)
     nonlinear = -1 * fft(u**2/2) * 1j * kk