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In this talk, I will present our recent result the 2D radially symmetric compressible Navier-Stokes equations with density-dependent viscosity. Under the condition of beta>1, we prove the global exist...
We provide an unconditional $L^2$ upper bound for the boundary layer separation of 3D Leray--Hopf solutions in a smooth bounded domain. By layer separation, we mean the discrepancy between a (turbulen...
This paper demonstrates the accuracy of the nonlinear frequency domain method in applications to unsteadyflow calculations. The basis of the method is a pseudospectral approach to recast a nonli...
This paper presents an adjoint method for the optimum shape design of unsteady three-dimensional viscousflows.The goal is to develop a set of discrete unsteady adjoint equations and the correspo...
This paper demonstrates efficient solver technologies applied to the non-linear frequency domain (NLFD) method.The basis of the NLFD method is to assume the time period of the solutions oscillat...
This paper presents an adjoint method for the optimum shape design of unsteady flows. The goal is to develop a set of discrete unsteady adjoint equations and the corresponding boundary condition...
This paper presents an adjoint method for the optimum shape design of unsteady flows. The goal is to develop a set of discrete unsteady adjoint equations and their corresponding boundary conditi...
A low-dimensional model (LDM) for turbulent Rayleigh-B磂nard convection in a Cartesian cell with square domain, based on the Galerkin projection of the Boussinesq equations onto a finite set of empiric...
Abstract. In this paper we present a fully deterministic method for the numerical solution to the Boltzmann equation of rarefied gas dynamics in a bounded domain for multi-scale problems.Periodic, spe...
This study aims to extend the time-domain model for the frequency-dependent attenuation of a single frequency excitation to a broadband excitation via a finite frequency decomposition. Our model satis...
Breast imaging systems must recognize very small lesions at early stage of detection in order to save lives and reduce costs. The clinical amplitude–velocity reconstruction imaging (CARI), a recent br...
A domain decomposition (DD) formulation for solving sparse linear systems of equations resulting from finite element analysis is presented. The formulation incorporates mixed direct and iterative equa...

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