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This work develops a robust and efficient framework of the adjoint gradient-based aerodynamic shape optimization (ASO) using high-order discontinuous Galerkin methods (DGMs) as the CFD solver. The adjoint-enabled gradients based on…

Numerical Analysis · Mathematics 2024-07-30 Yiwei Feng , Lili Lv , Tiegang Liu , Kun Wang , Bangcheng Ai

Implicit solvent models are widely used to decrease the number of solvent degrees of freedom and enable the calculation of solvation energetics without water molecules. However, its accuracy often falls short compared to explicit models.…

Chemical Physics · Physics 2026-05-15 Rishabh Dey , Salvina Sharipova , Konstantin Popov

Electrostatic forces play many important roles in molecular biology, but are hard to model due to the complicated interactions between biomolecules and the surrounding solvent, a fluid composed of water and dissolved ions. Continuum model…

Numerical Analysis · Mathematics 2015-12-29 Jaydeep P. Bardhan , Matthew G. Knepley

We present a generic coordinate descent solver for the minimization of a nonsmooth convex objective with structure. The method can deal in particular with problems with linear constraints. The implementation makes use of efficient residual…

Optimization and Control · Mathematics 2019-09-27 Olivier Fercoq

Using detailed simulations of calorimeter showers as training data, we investigate the use of deep learning algorithms for the simulation and reconstruction of particles produced in high-energy physics collisions. We train neural networks…

The three-body scattering problem in Coulombic systems is widespread, however yet unresolved problem by the mathematically rigorous methods. In this work this long term challenge has been undertaken by combining distorted waves and…

Quantum Physics · Physics 2017-03-08 R. Lazauskas

The mesoscopic modeling of three polysiloxanes in solution is reported in this work, with the purpose of predicting their physicochemical properties as functions of the quality of the solvent, so that a judicious choice of polymer/solvent…

Continuum solvation models enable efficient first principles calculations of chemical reactions in solution, but require extensive parametrization and fitting for each solvent and class of solute systems. Here, we examine the assumptions of…

Chemical Physics · Physics 2014-10-10 Ravishankar Sundararaman , Deniz Gunceler , T. A. Arias

Classical physical modelling with associated numerical simulation (model-based), and prognostic methods based on the analysis of large amounts of data (data-driven) are the two most common methods used for the mapping of complex physical…

Computational Engineering, Finance, and Science · Computer Science 2023-07-11 Derick Nganyu Tanyu , Isabel Michel , Andreas Rademacher , Jörg Kuhnert , Peter Maass

Accurate calculation of electrostatic potential and gradient on the molecular surface is highly desirable for the continuum and hybrid modeling of large scale deformation of biomolecules in solvent. In this article a new numerical method is…

Computational Physics · Physics 2020-08-26 George Borleske , Y. C. Zhou

Solvation free energy is an important design parameter in reaction kinetics and separation processes, making it a critical property to predict during process development. In previous research, directed message passing neural networks…

We employ the Partially Saturated Cells Method (PSM) to model the interaction between the fluid flow and solid moving objects as an extension to the conventional lattice Boltzmann method. We introduce an efficient and accurate method for…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-28 P. Suffa , S. Kemmler , H. Koestler , U. Ruede

We describe and test an implicit solvent all-atom potential for simulations of protein folding and aggregation. The potential is developed through studies of structural and thermodynamic properties of 17 peptides with diverse secondary…

Biomolecules · Quantitative Biology 2009-04-09 Anders Irbäck , Simon Mitternacht , Sandipan Mohanty

A new computational method is presented for study suspensions of charged soft particles undergoing fluctuating hydrodynamic and electrostatic interactions. The proposed model is appropriate for polymers, proteins and porous particles…

Soft Condensed Matter · Physics 2015-04-14 Juan P. Hernandez-Ortiz , Juan J. de Pablo

Multiscale and inhomogeneous molecular systems are challenging topics in the field of molecular simulation. In particular, modeling biological systems in the context of multiscale simulations and exploring material properties are driving a…

Computational Physics · Physics 2017-12-06 Horacio V. Guzman , Christoph Junghans , Kurt Kremer , Torsten Stuehn

The properties of polymer liquids on hard and soft substrates are investigated by molecular dynamics simulation of a coarse-grained bead-spring model and dynamic single-chain-in-mean-field (SCMF) simulations of a soft, coarse-grained…

Soft Condensed Matter · Physics 2015-05-18 F. Léonforte , J. Servantie , C. Pastorino , M. Müller

To accurately study chemical reactions in the condensed phase or within enzymes, both a quantum-mechanical description and sufficient configurational sampling is required to reach converged estimates. Here, quantum mechanics/molecular…

Chemical Physics · Physics 2022-10-05 Albert Hofstetter , Lennard Böselt , Sereina Riniker

We provide a mathematically proven parallelization scheme for particle methods on distributed-memory computer systems. Particle methods are a versatile and widely used class of algorithms for computer simulations and numerical predictions…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-05 Johannes Pahlke , Ivo F. Sbalzarini

We explored decoding methods for the surface code under depolarizing noise by mapping the problem into the Ising model optimization. We consider two kinds of mapping with and without a soft constraint and also various optimization solvers,…

We study a model of a general compressible viscous fluid subject to the Coulomb friction law boundary condition. For this model, we introduce a dissipative formulation and prove the existence of dissipative solutions. The proof of this…

Analysis of PDEs · Mathematics 2024-02-22 Sarka Necasova , Justyna Ogorzaly , Jan Scherz