We present a fast algorithm to perform sound propagation in complex 3D scenes. Our approach computes propagation paths from each source to the listener by taking into account specular reflections and higher-order edge diffractions around finite edges in the scene. We use the well known Biot-Tolstoy-Medwin diffraction model along with efficient algorithms for region-based visibility to cull away...

We examine the effect of magnetic field on boundary layer flow of an incompressible electrically conducting water-based nanofluids past a convectively heated vertical porous plate with Navier slip boundary condition. A suitable similarity transformation is employed to reduce the governing partial differential equations into nonlinear ordinary differential equations, which are solved numerically...

Instabilities and pattern formation in buoyant-thermocapillary flows have been extensively studied in the last years. Classically heat is applied uniformly from below [1] where the conductive solution becomes unstable for temperature gradients beyond a certain threshold. A more general set-up considers thermoconvective instabilities when a basic dynamic flow is imposed through non-zero horizont...

Abstract A stochastic computing approach is implemented in the present work to solve nonlinear nanofluidics system that occurs model of atomic physics. The process converts partial differential with suitable level similarities transformation into systems equations. For construction datasets, finite difference scheme (Lobatto IIIA) applied through different selection collocation points for havin...

Brownian motion and thermophoresis impacts are discussed in relation to a tangent hyperbolic fluid encircling sphere subject convective boundary condition Biot number. Concentration conditions involving wall normal flow of zero nanoparticles an unexplored area research. The governing non-linear BVP is transformed into higher-order ODE using similarity transformations. Following equations were n...

An application of the point vortex method to the singular Biot–Savart integrals used in water wave calculations is presented. The error for this approximation is shown to be a series in odd powers of h. A method for calculating the coefficients in the series is presented.

We elaborate the physics of systems of unconstrained, reconnecting vortex filaments with dynamic finite cores of uniform ("quantized") circulation interacting via Biot-Savart and viscous forces. The phenomenology of this purely structured turbulent system includes an inertial range with Kolmogorov's k(-5/3) scaling for the energy spectrum, as well as Kolmogorov's linear in r scaling for the thi...