A good mesh moving method is an important part of ?ow computations with moving-mesh methods like the space–time (ST) and Arbitrary Lagrangian–Eulerian (ALE) methods. With a method, we can decrease remeshing frequency even when ?uid–solid ?uid–?uid interfaces undergo large displacements, element distortion in parts domain where care about solution accuracy more, maintain quality boundary layer m...

The sclera is considered as the principal load-bearing tissue within eye. negatively charged; thus, it exhibits mechanical response to electrical stimulation. We recently demonstrated electroactive behavior of by performing experimental measurements that captured deformation tip scleral strips subjected electric voltage. also numerically analyzed electromechanical using a chemo-electro-mechanic...

• Boundary conditions on the hydrogel surface are naturally embedded in weak form. With proper test functions, form recovers dissipative energy law. The displacement extension algorithm captures interfacial accurately. ALE method tracks moving interface as well deforming solid skeleton. numerical results show excellent agreement with available analytical solutions. Hydrogels crosslinked polymer...

A bstract We consider diffeomorphism invariant theories of gravity with arbitrary higher derivative terms in the Lagrangian as corrections to leading two theory Einstein’s general relativity. construct a proof zeroth law black hole thermo-dynamics such theories. assume that stationary solution an can be obtained by starting corresponding relativity and correcting it order perturbative expansion...