Complex microstructure changes occur in nuclear fuel and structural materials due to the extreme environments of intense irradiation and high temperature. This paper evaluates the role of the phase field method in predicting the microstructure evolution of irradiated nuclear materials and the impact on their mechanical, thermal, and magnetic properties. The paper starts with an overview of the ...

We present a discrete exterior calculus (DEC) based discretization scheme for incompressible two-phase flows. Our physically-compatible of single phase flow is extended to simulate immiscible flows with discontinuous changes in fluid properties such as density and viscosity across the interface. The Navier-Stokes equations conservative field equation interface capturing are first transformed in...

The use of rays to construct fields is illustrated by finding the field in the region 3>0 when the field is given on the plane z = 0. This construction is valid for complex rays as well as real ones. The method is applied to a gaussian field in the plane z=0, in which case a gaussian beam results. The calculation involves only complex rays. Exactly the same results are also obtained by applying...

Recently, the phase-field method has been extended and utilized across many fields of materials science. Since this method can incorporate, systematically, the effect of the coherency induced by lattice mismatch and the applied stress as well as the external electrical and magnetic fields, it has been applied to many material processes including solidification, solid-state phase transformations...

The weak gravitational field expansion method to account for the gravitationally induced neutrino oscillation effect is critically examined, then it is shown that the splitting of the neutrino phase into a “kinematic” and a “gravitational” phase is not always possible because the relativistic factor modifies the particle interference phase splitting condition in a gravitational field. key words...