This is an overview of some of the new directions we have taken the space-time (ST) computational methods since 2010 in bringing solution and analysis to different classes of challenging engineering problems. The new directions include the variational multiscale (VMS) version of the Deforming-Spatial-Domain/Stabilized ST method,using NURBS basis functions in temporal representation of the unknown variables and motion of the solid surfaces and fluid mechanics meshes,ST techniques with continuous representation in time,ST interface-tracking with topology change,and the ST-VMS method for flow computations with slip interfaces. We describe these new directions and present a few examples.
|Number of pages||20|
|Journal||Modeling and Simulation in Science, Engineering and Technology|
|Publication status||Published - 2016|
ASJC Scopus subject areas
- Fluid Flow and Transfer Processes
- Computational Mathematics
- Modelling and Simulation