activity
20192022
most citedConsistency and Convergence of a High Order Accurate Meshless Method for Solution of Incompressible Fluid Flows

3 citations · 3 across the 4 of their papers we have counts for

collaborators

8 papers

math.NA20223 cited

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…

math.NA2021

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…

math.NA2021

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…

math.NA2021

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…

physics.flu-dyn2021

Numerical Simulations of Frost Growth Using Mixture Model on Surfaces with Different Wettability

Shantanu Shahane, Yuchen Shen, Sophie Wang

Frost growth on cold surfaces is a transient process with coupled heat and mass transfer. Due to multiple factors such as humidity, temperature, flow velocity and constantly changi…

physics.flu-dyn2020

Sensitivity Analysis of Lift and Drag Coefficients for Flow over Elliptical Cylinders of Arbitrary Aspect Ratio and Angle of Attack using Neural Network

Shantanu Shahane, Purushotam Kumar, Surya Pratap Vanka

Flow over bluff bodies has multiple engineering applications and thus, has been studied for decades. The lift and drag coefficients are practically important in the design of many…