We present an approach for controlling the undercut and the minimal overhang angle in density based topology optimization, which are useful for reducing support structures in additive manufacturing. We cast both the undercut control and the minimal overhang angle control that are inherently constraints on the boundary shape into a domain integral of Heaviside projected density gradient. Such a ...

Currently, the best way to extract the low-energy predictions of quantum chromodynamics (QCD) is by estimating the QCD path integrals using the Monte Carlo method formulated on a space-time lattice. Determining the hadron mass spectrum is one of the major applications of such an approach. To study a particular state of interest, the energies of all states lying below that state must first be ex...

The physics of electromagnetics, or more specifically, the concept electric and magnetic field lines force, was proposed by Michael Faraday, in 1824. André-Marie Ampére’s Faraday’s experimental results were mathematically described James Clerk Maxwell, 1861. Many physicists consider Maxwell’s electromagnetic theory to be among most influential developments physics, it used called Faraday/Maxwel...

The numerical integration of discontinuous functions is an abiding problem addressed by various authors. This subject gained even more attention in the context extended finite element method (XFEM), which exact crucial to obtaining reliable results. In this scope, equivalent polynomials represent effective circumvent while exploiting standard Gauss quadrature rule exactly integrate times step f...

If an oscillator is driven by a force that switches between two frequencies, the dynamics it exhibits depends on precise manner of switching. Here we take one-dimensional and consider scenarios in which switching occurs: (i) driving forces have different or (ii) as single forcing whose frequency values. The difference subtle, but entirely changes long term behaviour, concerns whether switch can...

The immersed boundary method (IBM) of Peskin (J. Comput. Phys., 1977), and derived forms such as the projection Taira Colonius 2007), have been useful for simulating flow physics in problems with moving interfaces on stationary grids. However, their interface treatment, these methods do not distinguish one side from other, but rather, apply motion constraint to both sides, associated force is a...