This paper represents a first step towards the development of two-phase CFD methods for small and large scale ship hydrodynamic applications. Two-phase level set approaches are being implemented in CFDShip-Iowa to extend the modeling capabilities of the current version 4 along with complementary experiments for validation. The experiments are conducted in an open channel flume using bottom moun...

In this article, the propagation of digital and analog signals through media which, in general, are both dissipative and dispersive is modeled using the one-dimensional telegraph equation. Input signals are represented using impulsive, Heaviside unit step, Gaussian, rectangular pulse, and both unmodulated and modulated sinusoidal pulse type boundary data. Applications to coaxial transmission li...

Most of the proportional-integral-derivative (PID) controller tuning methods reported in literature are based on the approximate plant models (FOPDT or SOPDT models) derived from the step response of the plant. In this paper, a new method of designing PID controllers using ‘impulse response’ instead of ‘step response’ of the plant is presented. Treating the impulse response of the plant as a st...

• An improved level-set model is proposed for honing groove feature segmentation. The Heaviside function approximated using a piecewise linear function. A 30% accuracy improvement over the best-tested algorithms has been observed. folder metal characterization case study validates algorithm’s performance. Honing features of cylinder liner surface contain helpful information on Traditional evalu...

We apply the dressing method to a string solution given by a static string wrapped around the equator of a three-sphere and find that the result is the single spike solution recently discussed in the literature. Further application of the method allows the construction of solutions with multiple spikes. In particular we construct the solution describing the scattering of two single spikes and c...

Abstract Fractional calculus (FC) is useful in studying physical phenomena with memory effect. In this paper, a fractional form of Ambartsumian equation considered utilizing the Caputo derivative. The Heaviside expansion formula classical (CC) extended/developed view FC. Then, extended applied to obtain exact solution simplest form. Several theorems and lemmas are proved facilitate evaluation i...

We consider one-dimensional biased voter models, where 1’s replace 0’s at a faster rate than the other way round, started in Heaviside initial state describing interface between two infinite populations of and 1’s. In limit weak bias, for diffusively rescaled process, we measure-valued process local fraction type 1 sites as function time. Under finite second moment condition on rates, show that...

This paper presents a one-layer recurrent neural network for solving linear programming problems. The proposed neural network is guaranteed to be globally convergent in finite time to the optimal solutions under a mild condition on a derived lower bound of a single gain parameter. The number of neurons in the neural network is the same as the number of decision variables of the dual optimizatio...

We address in this paper the following two closely related problems: 1. How to represent functions with singularities (up to a prescribed accuracy) in a compact way? 2. How to reconstruct such functions from a small number of measurements? The stress is on a comparison of linear and nonlinear approaches. As a model case we use piecewise-constant functions on [0, 1], in particular, the Heaviside...

We address in this paper the following two closely related problems: 1. How to represent functions with singularities (up to a prescribed accuracy) in a compact way? 2. How to reconstruct such functions from a small number of measurements? The stress is on a comparison of linear and nonlinear approaches. As a model case we use piecewise-constant functions on [0, 1], in particular, the Heaviside...