Multiphase flows with momentum, heat, and mass transfer exist widely in a variety of
industrial applications. With the rapid development of numerical algorithms and computer …

The excessive computational resource requirements for direct numerical simulation (DNS)
and wall-resolved large eddy simulation (LES) make these methods intractable for …

A higher-order immersed boundary method for solving the compressible Navier–Stokes
equations is presented. The distinguishing feature of this new immersed boundary method is …

Abstract The Immersed Boundary method is a simple, efficient, and robust numerical
scheme for solving PDE in general domains, yet it only achieves first-order spatial accuracy …

A sharp immersed boundary computational aeroacoustic simulation approach for open-rotor
direct noise predictions is presented. A specific feature of the finite-difference based …

The objective of this paper is to present a novel, robust, high-order accurate Immersed
Interface Method (IIM) for advection–diffusion type equations. In contrast to other immersed …

The conjugate heat transfer problem is found in non-isothermal physical systems that
involve thermodynamic processes between materials that are thermally coupled through …

Compressible flows at low Mach numbers are prevalent in various engineering applications,
such as combustion, aeroacoustics, heat transfer, and more. In this study, we present a …

Abstract The Immersed Boundary method is a simple, efficient, and robust numerical
scheme for solving PDE in general domains, yet for fluid problems it only achieves first-order …

High-order methods that can resolve interactions of flow-disturbances with shock waves are
critical for reliable numerical simulation of shock wave and turbulence interaction. Such …