New developments of absorbing boundary algorithm for the transmission line matrix (TLM) method.
|Title:||New developments of absorbing boundary algorithm for the transmission line matrix (TLM) method.|
|Abstract:||New developments of Absorbing Boundary (AB) Algorithms for the Transmission Line Matrix (TLM) Method have been presented in this thesis. A new approach has been proposed to obtain the optimized Dissipation Absorbing Boundary Condition (ABC). In this approach, optimization is performed directly on the structure being studied. This approach has been implemented in 2D and 3D TLM. It shows its great advantage especially in 3D because it is unconditionally stable while many other approaches such as extrapolation approach, are unstable. Great efforts have also been made in implementing Liao's ABC in 2D and 3D TLM. This ABC has better absorption than the above approach when the same extra computation space is used. However, this approach is unstable when its order is high. Since Liao's ABC has good absorption and instability, while the Dissipation ABC has good stability and relatively worse absorption, we can properly combine them together to achieve good stability and acceptable absorption. This combination approach has been carefully tested in this thesis and found feasible. Choosing a proper loss tangent for the Dissipation ABC has been discussed. This approach has been implemented in 2D and 3D TLM. (Abstract shortened by UMI.)|
|Collection||Thèses, 1910 - 2010 // Theses, 1910 - 2010|