Figure 3 shows the numerical solution of the advection equation for a scalar u along x at three consecutive timesteps. 1.0 0.8- 0.6 0.4- 0.2 0.0 00 -0.2 -0.4 -0.6- 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 Figure 3: Advection equation, solution for three different timesteps. Determine the CFL number that was used in the simulation for each of the candidate schemes for all possible updates. Assume that the timestep and mesh-width used are constant. Read the data to two digits of accuracy from Figure 4 shown at the end of the question, which is an enlarged version of Figure 3. Demonstrate your method and input data for one calculation, but then use a spreadsheet, Matlab or python. Present that data in a table. To verify your assumption about the scheme, confirm that the CFL number is reasonably constant for each scheme, given the limited accuracy of the data read from the figure.
Figure 3 shows the numerical solution of the advection equation for a scalar u along x at three consecutive timesteps. 1.0 0.8- 0.6 0.4- 0.2 0.0 00 -0.2 -0.4 -0.6- 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 Figure 3: Advection equation, solution for three different timesteps. Determine the CFL number that was used in the simulation for each of the candidate schemes for all possible updates. Assume that the timestep and mesh-width used are constant. Read the data to two digits of accuracy from Figure 4 shown at the end of the question, which is an enlarged version of Figure 3. Demonstrate your method and input data for one calculation, but then use a spreadsheet, Matlab or python. Present that data in a table. To verify your assumption about the scheme, confirm that the CFL number is reasonably constant for each scheme, given the limited accuracy of the data read from the figure.
Elements Of Electromagnetics
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Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
![Figure 3 shows the numerical solution of the advection equation for a scalar u along x at three
consecutive timesteps.
1.0
0.8-
0.6
0.4-
0.2
0.0
00
-0.2
-0.4
-0.6-
3.0
3.5
4.0
4.5
5.0
5.5
6.0
6.5
Figure 3: Advection equation, solution for three different timesteps.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb27cb9df-68b6-4c6c-824c-1166a13a3bca%2F825f0547-5757-4206-9fd9-6b227a58deb7%2F5c5mmtb_processed.png&w=3840&q=75)
Transcribed Image Text:Figure 3 shows the numerical solution of the advection equation for a scalar u along x at three
consecutive timesteps.
1.0
0.8-
0.6
0.4-
0.2
0.0
00
-0.2
-0.4
-0.6-
3.0
3.5
4.0
4.5
5.0
5.5
6.0
6.5
Figure 3: Advection equation, solution for three different timesteps.
![Determine the CFL number that was used in the simulation for each of the candidate schemes for
all possible updates.
Assume that the timestep and mesh-width used are constant. Read the data to two digits of
accuracy from Figure 4 shown at the end of the question, which is an enlarged version of Figure 3.
Demonstrate your method and input data for one calculation, but then use a spreadsheet, Matlab
or python. Present that data in a table.
To verify your assumption about the scheme, confirm that the CFL number is reasonably constant
for each scheme, given the limited accuracy of the data read from the figure.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb27cb9df-68b6-4c6c-824c-1166a13a3bca%2F825f0547-5757-4206-9fd9-6b227a58deb7%2F3m76kp9_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the CFL number that was used in the simulation for each of the candidate schemes for
all possible updates.
Assume that the timestep and mesh-width used are constant. Read the data to two digits of
accuracy from Figure 4 shown at the end of the question, which is an enlarged version of Figure 3.
Demonstrate your method and input data for one calculation, but then use a spreadsheet, Matlab
or python. Present that data in a table.
To verify your assumption about the scheme, confirm that the CFL number is reasonably constant
for each scheme, given the limited accuracy of the data read from the figure.
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