We present an extension of multidimensional upwind residual distribution schemes to viscous flows. Following [Ricchiuto et al. J.Comp.Appl.Math., 2007], we consider the consistent coupling of a residual distribution (RD) discretization of the advection operator with a Galerkin approximation for the second order derivatives. Consistency is intended in the sense of uniform accuracy with respect t...

In a recent numerical paper (Nicoli et al. Combust. Sci. Technol. vol. 186, pp. 103-119; 2014) [1], a model of isobaric flame propagation in lean sprays has been proposed. The initial state of the monodisperse mists was schematized by a system of individual alkane droplets initially located at the nodes of a facecentered 2D-lattice, surrounded by a saturated mixture of alkane and air. In the pr...

This article studies the development of two numerical techniques for solving convection-diffusion type partial integro-differential equation (PIDE) with a weakly singular kernel. Cubic trigonometric B-spline (CTBS) functions are used interpolation in both methods. The first method is CTBS based collocation which reduces PIDE to an algebraic tridiagonal system linear equations. other differentia...

Inertial microfluidics-based devices have recently attracted much interest and attention due to their simple structure, high throughput, fast processing and low cost. They have been utilised in a wide range of applications in microtechnology, especially for sorting and separating microparticles. This novel class of microfluidics-based devices works based on intrinsic forces, which cause micropa...

This present work proposes a method to exactly evaluate the thermal process of Ammonium perchlorate/Hydroxyl-terminated polybutadiene (AP/HTPB) propellant. The three-dimensional propellant pack is generated by Monte-Carlo obtain representative sandwich model on base dual-slicing technique. AP monopropellant flame height H1, primary diffusion H2 and final H3 are jointly determined temperature co...

Mathematical models for an adiabatic tubular chemical reactor which forms irreversible exothermic reaction are investigated by efficient numerical technique, Fibonacci Collocation method in this study. The reaction's steady-state temperature is calculated several values of three parameters, namely, Peclet and Damkohler numbers the dimensionless increment. When generated outcomes compared with o...

Abstract Dusty Casson fluids and tetra-hybrid nanofluids are complex phenomena that find their extensive uses in engineering industrial applications. For instance, dusty used gas-freezing systems nuclear power reactors. The main objective of this article is to focus on the characterization generalized two-phase free convection magnetohydrodynamic flow nanofluid among parallel microplates: fluid...

We present an accurate and efficient numerical method for solving the Black–Scholes equation. The method uses an adaptive grid technique which is based on a far-field boundary position and the Peclet condition. We present the algorithm for the automatic adaptive grid generation: First, we determine a priori suitable far-field boundary location using the mathematical model parameters. Second, ge...

Stochastic methods offer an attractively simple solution to complex transport-controlled problems, and have a wide range of physical, chemical, and biological applications. Stochastic methods do not suffer from the numerical diffusion that plagues grid-based methods, but they typically lose accuracy in the vicinity of interfacial boundaries. In this work we introduce some ideas and algorithms t...