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20242026
most citedA Novel Paradigm in Solving Multiscale Problems

1 citations · 1 across the 6 of their papers we have counts for

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8 papers

physics.flu-dyn2026

Generalised Mixing-Plane Method for Compressible Reacting-Mixture Flows in Steady Multiphysics Turbomachinery Simulations

Yifeng Wang, Lin Shi, Fenglai Huang +3

The mixing-plane method plays a pivotal role in steady simulations of multiple turbomachinery components. With advances in computational power, a whole-engine gas turbine simulatio…

physics.comp-ph2026

A subcell-refined entropy-residual-driven limiting strategy for high-order discontinuous Galerkin methods

Geng Liang, Rui Wang, Junjie Wang +3

Fine-grained, subcell-level dissipation control is essential for achieving robust high-order discontinuous Galerkin (DG) simulations of nonlinear hyperbolic systems in under-resolv…

physics.flu-dyn2026

Identifying sensitivity-dominant parameters via active subspaces in reduced-order modeling of fluid dynamics

Dewu Yang, Rui Wang, Pengyu Lai +3

Reduced-order models (ROMs) are widely employed to describe complex system dynamics when simulations with full-order models (FOMs) are computationally prohibitive. This study prese…

cs.LG2026

From Complex Dynamics to DynFormer: Rethinking Transformers for PDEs

Pengyu Lai, Yixiao Chen, Dewu Yang +3

Partial differential equations (PDEs) are fundamental for modeling complex physical systems, yet classical numerical solvers face prohibitive computational costs in high-dimensiona…

cs.LG2025

DyMixOp: A Neural Operator Designed from a Complex Dynamics Perspective with Local-Global Mixing for Solving PDEs

Pengyu Lai, Yixiao Chen, Dewu Yang +3

A primary challenge in using neural networks to approximate nonlinear dynamical systems governed by partial differential equations (PDEs) lies in recasting these systems into a tra…

cs.LG2025

LFR-PINO: A Layered Fourier Reduced Physics-Informed Neural Operator for Parametric PDEs

Jing Wang, Biao Chen, Hairun Xie +4

Physics-informed neural operators have emerged as a powerful paradigm for solving parametric partial differential equations (PDEs), particularly in the aerospace field, enabling th…

physics.comp-ph2024

Neural Downscaling for Complex Systems: from Large-scale to Small-scale by Neural Operator

Pengyu Lai, Jing Wang, Rui Wang +3

Predicting and understanding the chaotic dynamics in complex systems is essential in various applications. However, conventional approaches, whether full-scale simulations or small…

physics.flu-dyn2024★ 1 cited

A Novel Paradigm in Solving Multiscale Problems

Jing Wang, Zheng Li, Pengyu Lai +5

Multiscale phenomena manifest across various scientific domains, presenting a ubiquitous challenge in accurately and effectively simulating multiscale dynamics in complex systems.…