3 papers
physics.flu-dyn2026
Reconstruction of instantaneous flow fields from transient velocity snapshots using physics-informed neural networks: Applications to pulsatile blood flow behind a stenosis
Kakeru Ueda, Hiro Wakimura, Satoshi Ii
Physics-informed neural networks (PINNs) offer a promising framework by embedding partial differential equations (PDEs) into the loss function together with measurement data, makin…
physics.flu-dyn2024
A low-dissipation numerical method based on boundary variation diminishing principle for compressible gas-liquid two-phase flows with phase change on unstructured grid
Hiro Wakimura, Takayuki Aoki, Feng Xiao
A low-dissipation numerical method for compressible gas-liquid two-phase flow with phase change on unstructured grids is proposed. The governing equations adopt the six-equation mo…
math.NA2021
Symmetry-preserving enforcement of low-dissipation method based on boundary variation diminishing principle
Hiro Wakimura, Shinichi Takagi, Feng Xiao
A class of high-order shock-capturing schemes, PT-BVD (Deng et al., J. Comp. Phys., 386:323-349, 2019; Comput. & Fluids, 200:104433, 2020.) schemes, have been devised to so…