63 citations · 222 across the 16 of their papers we have counts for
9 papers · 1 filter
Rational-WENO: A lightweight, physically-consistent three-point weighted essentially non-oscillatory scheme
Shantanu Shahane, Sheide Chammas, Deniz A. Bezgin +8
Conventional WENO3 methods are known to be highly dissipative at lower resolutions, introducing significant errors in the pre-asymptotic regime. In this paper, we employ a rational…
Simulation of Heat Conduction in Complex Domains of Multi-material Composites using a Meshless Method
Naman Bartwal, Shantanu Shahane, Somnath Roy +1
Several engineering applications involve complex materials with significant and discontinuous variations in thermophysical properties. These include materials for thermal storage,…
Consistency and Convergence of a High Order Accurate Meshless Method for Solution of Incompressible Fluid Flows
Shantanu Shahane, Surya Pratap Vanka
Computations of incompressible flows with velocity boundary conditions require solution of a Poisson equation for pressure with all Neumann boundary conditions. Discretization of s…
Application of a High Order Accurate Meshless Method to Solution of Heat Conduction in Complex Geometries
Naman Bartwal, Shantanu Shahane, Somnath Roy +1
In recent years, a variety of meshless methods have been developed to solve partial differential equations in complex domains. Meshless methods discretize the partial differential…
A Semi-Implicit Meshless Method for Incompressible Flows in Complex Geometries
Shantanu Shahane, Surya Pratap Vanka
We present an exponentially convergent semi-implicit meshless algorithm for the solution of Navier-Stokes equations in complex domains. The algorithm discretizes partial derivative…
A Non-Nested Multilevel Method for Meshless Solution of the Poisson Equation in Heat Transfer and Fluid Flow
Anand Radhakrishnan, Michael Xu, Shantanu Shahane +1
We present a non-nested multilevel algorithm for solving the Poisson equation discretized at scattered points using polyharmonic radial basis function (PHS-RBF) interpolations. We…
A High-Order Accurate Meshless Method for Solution of Incompressible Fluid Flow Problems
Shantanu Shahane, Anand Radhakrishnan, Surya Pratap Vanka
Meshless solution to differential equations using radial basis functions (RBF) is an alternative to grid based methods commonly used. Since the meshless method does not need an und…
Finite Volume Simulation Framework for Die Casting with Uncertainty Quantification
Shantanu Shahane, Narayana Aluru, Placid Ferreira +2
The present paper describes the development of a novel and comprehensive computational framework to simulate solidification problems in materials processing, specifically casting p…
Uncertainty Quantification in Three Dimensional Natural Convection using Polynomial Chaos Expansion and Deep Neural Networks
Shantanu Shahane, Narayana R. Aluru, Surya Pratap Vanka
This paper analyzes the effects of input uncertainties on the outputs of a three dimensional natural convection problem in a differentially heated cubical enclosure. Two different…