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NAE C_S2001 FINAL PROJECT PRESENTATION

NAE C_S2001 FINAL PROJECT PRESENTATION. LASIC ISMAR 04/12/01 INSTRUCTOR: PROF. GUTIERREZ. Numerical solution for 2-Dimensional, steady-state, temperature distributions in a flat plate with 3 edges at a fixed temperature and one edge in Convection.

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NAE C_S2001 FINAL PROJECT PRESENTATION

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  1. NAE C_S2001FINAL PROJECT PRESENTATION LASIC ISMAR 04/12/01 INSTRUCTOR: PROF. GUTIERREZ

  2. Numerical solution for 2-Dimensional, steady-state, temperature distributions in a flat plate with 3 edges at a fixed temperature and one edge in Convection. Base Line - Exact solution of simpler case found analytically. Modeling and validating the numerical solution (Fortran). PROBLEM STATEMENT

  3. MODELING A SYSTEM • Partial Differential Equations used to model the system. • Finding the temperature values at a finite number of points characterized by mesh.

  4. FINITE DIFFERENCE APPROACH Heat flows vertically and horizontally into node of interest.

  5. Gauss-Seidel (near-neighbor) sweeps to convergence. Interior n-by-n points updated in each sweep according to the formula: ITERATIVE SOLUTION (Gauss-Seidel) • Updates done in-place in grid, and residual value computed. • Check if error has converged (to within a tolerance parameter). • If so, exit solver; if not, do another sweep.

  6. IN CLOSING

  7. QUESTIONS ??? LASICIS@IFC.UTC.COM

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