Meaning
Numerical simulation techniques track deformational changes in domain boundaries by continuously updating grid node positions. Utilizing a finite element moving mesh allows engineers to model processes with evolving geometries, such as phase transitions, fluid-structure interactions, and material wear. The boundary of application is defined by the limits of mesh distortion, beyond which the solution loses accuracy.
Equation Coupling
Solving these problems requires coupling the partial differential equations of the physical field with equations governing mesh deformation. The solver calculates the new node coordinates at each time step to prevent element inversion. This mathematical integration ensures that the simulation remains stable during large structural shifts.
Process Simulation
Chinese manufacturing research institutes apply these advanced simulations to analyze molten metal flow and solidification in casting molds. By tracking the solid-liquid interface dynamically, engineers can predict the formation of internal cavities or surface defects. This predictive capability allows factories to optimize mold geometries and cooling rates before constructing physical tooling.
The simulation reduces the development cycle for complex automotive and aerospace castings.
Computation Limit
Simulating large deformations often requires frequent remeshing, which increases computational time and resource consumption. When the mesh undergoes severe distortion, the algorithm must interpolate the field variables onto a new, undistorted grid. This step introduces numerical diffusion, which limits the precision of long-duration simulations.
