261
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

Comparative application of CGM and Wiener filtering techniques for the estimation of heat flux distribution

&
Pages 551-573 | Received 09 Nov 2009, Accepted 06 Oct 2010, Published online: 24 Feb 2011

Figures & data

Figure 1. Geometrical domain with coordinate system and boundary conditions.

Figure 1. Geometrical domain with coordinate system and boundary conditions.

Figure 2. Noisy test signal for the case A = 50, dx = dy = 0.001 m and σ/A = 6%.

Figure 2. Noisy test signal for the case A = 50, dx = dy = 0.001 m and σ/A = 6%.

Figure 3. Exact signal Laplacian for the case A = 50 and dx = dy = 0.001 m.

Figure 3. Exact signal Laplacian for the case A = 50 and dx = dy = 0.001 m.

Figure 4. Exact and noisy test signals and signal's Laplacian along the domain centreline for the case A = 50, dx = dy = 0.001 m and σ/A = 2%.

Figure 4. Exact and noisy test signals and signal's Laplacian along the domain centreline for the case A = 50, dx = dy = 0.001 m and σ/A = 2%.

Figure 5. Objective function J* and estimation error during iteration number for the case A = 50, dx = dy = 0.001 m and σ/A = 2%.

Figure 5. Objective function J* and estimation error during iteration number for the case A = 50, dx = dy = 0.001 m and σ/A = 2%.

Figure 6. Objective function J* and estimation error during iteration number for the case A = 50, dx = dy = 0.001 m and σ/A = 6%.

Figure 6. Objective function J* and estimation error during iteration number for the case A = 50, dx = dy = 0.001 m and σ/A = 6%.

Figure 7. Exact and reconstructed signal and signal's Laplacian along the domain centreline for the case A = 50, dx = dy = 0.001 m and σ/A = 6%.

Figure 7. Exact and reconstructed signal and signal's Laplacian along the domain centreline for the case A = 50, dx = dy = 0.001 m and σ/A = 6%.

Figure 8. Exact and reconstructed signal's Laplacian, along the domain centreline, obtained by the CGM with two different initial guess of the unknown function and by the Wiener filtering technique for the case A = 50, dx = dy = 0.001 m and σ/A = 2%.

Figure 8. Exact and reconstructed signal's Laplacian, along the domain centreline, obtained by the CGM with two different initial guess of the unknown function and by the Wiener filtering technique for the case A = 50, dx = dy = 0.001 m and σ/A = 2%.

Figure 9. Exact and reconstructed signal's Laplacian, along the domain centreline, obtained by the CGM with different initial guess of the unknown function and by the Wiener filtering technique for the case A = 50, dx = dy = 0.001 m and σ/A = 6%.

Figure 9. Exact and reconstructed signal's Laplacian, along the domain centreline, obtained by the CGM with different initial guess of the unknown function and by the Wiener filtering technique for the case A = 50, dx = dy = 0.001 m and σ/A = 6%.

Figure 10. Local deviation between the exact and reconstructed signal's Laplacian, along the domain centreline, obtained by the CGM with different initial guess of the unknown function and by the Wiener filtering technique for the case A = 50, dx = dy= 0.001 m and σ/A = 2%.

Figure 10. Local deviation between the exact and reconstructed signal's Laplacian, along the domain centreline, obtained by the CGM with different initial guess of the unknown function and by the Wiener filtering technique for the case A = 50, dx = dy= 0.001 m and σ/A = 2%.

Figure 11. Local deviation between the exact and reconstructed signal's Laplacian, along the domain centreline, obtained by the CGM with different initial guess of the unknown function and by the Wiener filtering technique for the case A = 50, dx = dy = 0.001 m and σ/A = 6%.

Figure 11. Local deviation between the exact and reconstructed signal's Laplacian, along the domain centreline, obtained by the CGM with different initial guess of the unknown function and by the Wiener filtering technique for the case A = 50, dx = dy = 0.001 m and σ/A = 6%.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.