We study conservation properties of Galerkin methods for the incompressible Navier–Stokes
equations, without the divergence constraint strongly enforced. In typical discretizations such …

We introduce a new method for fluid simulation on high-resolution adaptive grids which
rivals the throughput and parallelism potential of methods based on uniform grids. Our …

This study is to validate the accuracy of large-eddy simulation (LES) of wind pressures and
loads on high-rise buildings at various angles of attack based on approaching flow …

Simulating flow through porous media with explicit considerations of complex
microstructures is very challenging using conventional sharp-interface methods because of …

Many subsurface porous media such as soils, carbonate rocks, and mudstones possess
multiscale porous structures that play an important role in regulating fluid flow and transport …

Evaluating the seismic security of enormous structures is extremely vital, and this concern
has continually motivated the trends of refined numerical simulations for years. However, the …

Tree-based mesh grids bring the advantage of using fast cartesian discretizations, such as
finite differences, and the flexibility and accuracy of local mesh refinement. The main …

While pressure forces are often the bottleneck in (near-) inviscid fluid simulations, viscosity
can impose orders of magnitude greater computational costs at lower Reynolds numbers …

We consider problems governed by a linear elliptic equation with varying coefficients across
internal interfaces. The solution and its normal derivative can undergo significant variations …

This paper presents a novel BIM-Octree-FEM-SBFEM method (BOFSM) for rapid modeling
and seismic damage analysis of structures. The BOFSM enables rapid and accurate …