# Supervised parallel-in-time algorithm for long-time Lagrangian simulations of stochastic dynamics: Application to hydrodynamics

@article{Blumers2019SupervisedPA, title={Supervised parallel-in-time algorithm for long-time Lagrangian simulations of stochastic dynamics: Application to hydrodynamics}, author={Ansel L. Blumers and Zhen Li and George Em Karniadakis}, journal={J. Comput. Phys.}, year={2019}, volume={393}, pages={214-228} }

## Figures and Tables from this paper

## 6 Citations

Path-accelerated stochastic molecular dynamics: Parallel-in-time integration using path integrals.

- Computer ScienceThe Journal of chemical physics
- 2019

The path-accelerated molecular dynamics method that takes advantage of distributed computing to reduce the wall-clock time of MD simulation via parallelization with respect to stochastic MD time steps is introduced.

Parareal computation of stochastic differential equations with time-scale separation: a numerical convergence study

- Physics
- 2020

The parareal algorithm is known to allow for a significant reduction in wall clock time for accurate numerical solutions by parallelising across the time dimension. We present and test a micro-macro…

Multiscale parareal algorithm for long-time mesoscopic simulations of microvascular blood flow in zebrafish

- PhysicsComputational Mechanics
- 2021

Various biological processes such as transport of oxygen and nutrients, thrombus formation, vascular angiogenesis and remodeling are related to cellular/subcellular level biological processes, where…

PPINN: Parareal Physics-Informed Neural Network for time-dependent PDEs

- Computer ScienceArXiv
- 2019

Applications of time parallelization

- Computer Science
- 2020

This review article serves to summarize the many advances in time-parallel computations since the excellent review article by Gander, “50 years of Time Parallel Integration” (Gander, in: 50 years of…

Multiscale computational framework for predicting viscoelasticity of red blood cells in aging and mechanical fatigue

- EngineeringComputer Methods in Applied Mechanics and Engineering
- 2022

## References

SHOWING 1-10 OF 59 REFERENCES

Static and dynamic properties of dissipative particle dynamics

- Physics
- 1997

The algorithm for the dissipative particle dynamics ~DPD! fluid, the dynamics of which is conceptually a combination of molecular dynamics, Brownian dynamics, and lattice gas automata, is designed…

Dissipative Particle Dynamics: Foundation, Evolution, Implementation, and Applications

- Physics
- 2017

Dissipative particle dynamics (DPD) is a particle-based Lagrangian method for simulating dynamic and rheological properties of simple and complex fluids at mesoscopic length and time scales. In this…

A dissipative particle dynamics method for arbitrarily complex geometries

- EngineeringJ. Comput. Phys.
- 2018

Time parallel kinetic-molecular interaction algorithm for CPU/GPU computers

- Computer ScienceICCS
- 2010

A Micro-Macro Parareal Algorithm: Application to Singularly Perturbed Ordinary Differential Equations

- Computer ScienceSIAM J. Sci. Comput.
- 2013

A micro-macro parareal algorithm for the time-parallel integration of multiscale-in-time systems shows that the computed solution converges to the full microscopic solution only if special care is taken during the coupling of the microscopic and macroscopic levels of description.

Construction of dissipative particle dynamics models for complex fluids via the Mori-Zwanzig formulation.

- PhysicsSoft matter
- 2014

A bottom-up coarse-graining procedure to construct mesoscopic force fields directly from microscopic dynamics and indicates that the DPD models with MZ-guided force fields yield much better static and dynamics properties, which are consistent with the underlying MD system, compared to standard DPD with empirical formulae.

GPU-accelerated red blood cells simulations with transport dissipative particle dynamics

- Computer ScienceComput. Phys. Commun.
- 2017

Extending molecular simulation time scales: Parallel in time integrations for high-level quantum chemistry and complex force representations.

- Computer ScienceThe Journal of chemical physics
- 2013

The parallel in time algorithms developed are able to reduce the cost of a MP2/6-311++G(2d,2p) simulation that had reached its maximum possible speedup in the parallelization of the electronic structure calculation from 32 s/ time step to 6.9 s/time step.

Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics

- Physics
- 1992

We present a novel method for simulating hydrodynamic phenomena. This particle-based method combines features from molecular dynamics and lattice-gas automata. It is shown theoretically as well as in…