Evidence map›Paper›PMID 27087702›Full record

ArticleJournal of computational physics2015

A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions.

Zhilin Li, Li Xiao, Qin Cai, Hongkai Zhao, Ray Luo

Abstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Journal of computational physics, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.

0numbers the graph read from it
0cells of the map it votes in
5citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

5 citing papers in PubMed.

  1. Improved Poisson-Boltzmann Methods for High-Performance Computing.Journal of chemical theory and computation · 2019
    Article
  2. An efficient second-order poisson-boltzmann method.Journal of computational chemistry · 2019
    Article
  3. Article
  4. Article
  5. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Zhilin LiDepartment of Mathematics and CRSC, North Carolina State University, Raleigh, NC 27695, USA.
Li XiaoDepartments of Biomedical Engineering and Molecular Biology and Biochemistry, University of California, Irvine, CA 92697, USA.
Qin CaiDepartments of Biomedical Engineering and Molecular Biology and Biochemistry, University of California, Irvine, CA 92697, USA.
Hongkai ZhaoDepartment of Mathematics, University of California, Irvine, CA 92697, USA.
Ray LuoDepartments of Molecular Biology and Biochemistry, Chemical Engineering and Materials Science, and Biomedical Engineering, University of California, Irvine, CA 92697, USA.

Funding

AMBER force field consortium: a coherent biomolecular simulation platformR01GM079383 · NIGMS · UNIVERSITY OF CALIFORNIA AT DAVIS · PI CIEPLAK, PIOTR, DUAN, YONG · 2007 to 2017
$4.7M
AMBER/PBSA: An Open-Source Computer Program for Accurate and Scalable Solvation Analysis ofBiomoleculesR01GM093040 · NIGMS · UNIVERSITY OF CALIFORNIA-IRVINE · PI LUO, RAY · 2010 to 2018
$2.2M
Mechanistic mixture models of mechanics of morphogenesis with murine measurementR01GM096195 · NIGMS · NORTH CAROLINA STATE UNIVERSITY RALEIGH · PI LUBKIN, SHARON R · 2010 to 2013
$1.4M
NIGMS NIH HHS R01 GM079383NIGMS NIH HHS R01 GM093040NIGMS NIH HHS R01 GM096195
6 · The paper itself

Abstract

In this paper, a new Navier-Stokes solver based on a finite difference approximation is proposed to solve incompressible flows on irregular domains with open, traction, and free boundary conditions, which can be applied to simulations of fluid structure interaction, implicit solvent model for biomolecular applications and other free boundary or interface problems. For some problems of this type, the projection method and the augmented immersed interface method (IIM) do not work well or does not work at all. The proposed new Navier-Stokes solver is based on the local pressure boundary method, and a semi-implicit augmented IIM. A fast Poisson solver can be used in our algorithm which gives us the potential for developing fast overall solvers in the future. The time discretization is based on a second order multi-step method. Numerical tests with exact solutions are presented to validate the accuracy of the method. Application to fluid structure interaction between an incompressible fluid and a compressible gas bubble is also presented.

Indexed as

Augmented immersed interface method (IIM)Finite difference approximationIrregular domainLocal pressure boundary conditionNavier–Stokes equationsOpen and traction boundary conditions

Identifiers

PMID27087702
PMCPMC4830499

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.