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Since the variational mesh adaptation is the base for a number of adaptive moving mesh and mesh smoothing methods, the result in this work can be used to develop simple implementations of those methods.
Mesh adaptation is driven by newly derived, residual-based error estimators.
The cost-effectiveness of moving mesh adaptation is studied in a number of 1D tests.
A metric-based anisotropic mesh adaptation is considered to control the interpolation error in Lp norm.
The performance of bandwidth-based mesh adaptation is compared with arclength- and curvature-based adaptation, and against a static mesh.
The mesh adaptation is controlled through a Hessian-based monitor function and the so-called equidistribution and alignment principles.
Similar(48)
Small modifications to the original code are required and no change of coordinates nor mesh adaptation are needed.
The volume changes due to local mesh adaptation are treated as continuous deformations of the finite volumes and they are taken into account by adding fictitious numerical fluxes to the governing equation.
Mesh adaptations are then carried out for classical test cases of 2D Euler flows.
Simulations of droplet pair collisions including both head-on and off-center coalescences show that the mesh adaptations are capable of resolving very small length scales, and the mesh combination and mesh separation schemes can handle the topological transitions in multiphase flows.
Mesh generation and adaptation is also a bottleneck because the users are not expected to have the know-how.
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