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