A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations

By Xiaolei Yang, Xing Zhang, Zhilin Li, Guo-Wei He. Journal of Computational Physics, 2009

435 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/25f7dc4acc0785660b2ca89c310151e7bd7cdce9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

Citations in the corpus

Efficient and accurate simulations of deformable particles immersed in a fluid using a combined immersed boundary lattice Boltzmann finite element method (2010, background): “Among others [26,56], the most popular interpolation functions φn with a support of n = 2, 3, 4 lattice nodes along each coordinate axis are”
A Sharp-Interface Immersed Boundary Method with Improved Mass Conservation and Reduced Spurious Pressure Oscillations (2011, methodology): “It is useful to point out that for diffuse-interface methods which include the discrete-delta function based implementation [7,8] or penalization based methods [14,15], the interface is normally described by a discretized delta function, which is spread smoothly over a set of local grid points.”
On the onset of wake meandering for an axial flow turbine in a turbulent open channel flow (2014, methodology): “For both the AD and AL approaches, the force Fl in the momentum equation (2.2) is calculated by distributing the forces from the actuator disk/line to the background grid using the discrete delta-function approach of Yang et al. (2009).”
A comparative study of direct‐forcing immersed boundary‐lattice Boltzmann methods for stationary complex boundaries (2011, methodology): “The differences of this study from previous schemes [33, 34] are: (i) to clearly see the effect of boundary diffuseness on accuracy, we adopt both 2-point and 4-point discrete delta functions, which give second-order approximations, whereas they [33, 34] only used the cosine-type 4-point discrete de”