CS 471 Final Project 2d Advection/Wave Equation Using Fourier Methods
The SUNRED program: models & algorithms Equation to be solved (2D case): The structure model:...
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Transcript of The SUNRED program: models & algorithms Equation to be solved (2D case): The structure model:...
The SUNRED program: models & algorithms
Equation to be solved (2D case):The structure model:
Cell, center and boundary (terminal) nodes. Different colors mean different materials.
yT
yxT
xtTcyxp
),(
Network models for FD solution:
Steady-state circuit models of a single cell: a.) “Current” excitation (heat flux), b.) forced “voltage” (temperature).
The time-discretized resistive equivalent of a cell, corresponding to a reverse Euler time step.
Successive reduction of the model network
The SUNRED program: models & algorithms
The THERMAN program: models & algorithms
The model:
Rectangular block,
Arbitrary number of homogenous layers
Arbitrary number of 2D dissipating shapes on layer interfaces
Buried dissipating shapes are permitted
Heat conducting bonds can be modeled
Boundary conditions:
The THERMAN program: models & algorithms
Different structures that can be analyzed by the Fourier method
Solution method:Fourier expansion using Fast Fourier Transform
SUNRED examples
Thermal transient movie window of a membrane structure
Study of a sensor package with two chips inside
DC simulations results to support the optimisation of a cable connections in power packages
Study of a micro-cantilever based on its SEM image