A Second-Order Explicit Pressure Projection Method for Eulerian Fluid Simulation

Abstract
In this paper, we propose a novel second-order explicit midpoint method to address the issue of energy loss and vorticity dissipation in Eulerian fluid simulation. The basic idea is to explicitly compute the pressure gradient at the middle time of each time step and apply it to the velocity field after advection. Theoretically, our solver can achieve higher accuracy than the first-order solvers at similar computational cost. On the other hand, our method is twice and even faster than the implicit second-order solvers at the cost of a small loss of accuracy. We have carried out a large number of 2D, 3D and numerical experiments to verify the effectiveness and availability of our algorithm.
Description

CCS Concepts: Computing methodologies --> Physical simulation

        
@article{
10.1111:cgf.14627
, journal = {Computer Graphics Forum}, title = {{
A Second-Order Explicit Pressure Projection Method for Eulerian Fluid Simulation
}}, author = {
Jiang, Junwei
and
Shen, Xiangda
and
Gong, Yuning
and
Fan, Zeng
and
Liu, Yanli
and
Xing, Guanyu
and
Ren, Xiaohua
and
Zhang, Yanci
}, year = {
2022
}, publisher = {
The Eurographics Association and John Wiley & Sons Ltd.
}, ISSN = {
1467-8659
}, DOI = {
10.1111/cgf.14627
} }
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