Meaning
A computational technique increases the resolution of a simulation only in zones where gradients of interest are steepest. Engineers use adaptive mesh refinement to model the sharp changes in temperature or stress that occur at the edges of a chip. The algorithm allocates processing power to areas showing rapid fluctuations while leaving uniform regions at a coarser scale.
This method reduces total calculation time compared to a global high-resolution grid.
Grid Topology
Numerical nodes are created dynamically as a local error indicator exceeds a set value. During adaptive mesh refinement, the software splits existing cells into smaller subsets to capture physical details. Sub-grid components are linked to neighbors through transfer functions that maintain continuity.
Numerical Accuracy
Higher densities of mesh elements ensure that the convergence of the solution meets strict audit standards. Calculations often reveal subtle shifts in physical behavior that a generic mesh would ignore. Accuracy improves at the junction where metals meet silicon during thermal cycling tests.
Solution Convergence
Processing cycles repeat until the results between subsequent iterations vary by less than the allowable margin. Each step of adaptive mesh refinement recalculates the field values across the entire domain to integrate the new fine-scale data. Final assessments depend on the stability of these transitions near complex geometries.
