Robert S. Bernard

1.2k total citations
29 papers, 959 citations indexed

About

Robert S. Bernard is a scholar working on Computational Mechanics, Aerospace Engineering and Electrical and Electronic Engineering. According to data from OpenAlex, Robert S. Bernard has authored 29 papers receiving a total of 959 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Computational Mechanics, 6 papers in Aerospace Engineering and 6 papers in Electrical and Electronic Engineering. Recurrent topics in Robert S. Bernard's work include Lattice Boltzmann Simulation Studies (11 papers), Fluid Dynamics and Turbulent Flows (9 papers) and Heat and Mass Transfer in Porous Media (6 papers). Robert S. Bernard is often cited by papers focused on Lattice Boltzmann Simulation Studies (11 papers), Fluid Dynamics and Turbulent Flows (9 papers) and Heat and Mass Transfer in Porous Media (6 papers). Robert S. Bernard collaborates with scholars based in United States. Robert S. Bernard's co-authors include Robert S. Maier, H. T. Davis, Daryl Grunau, Daniel M. Kroll, D. M. Kroll, John F. Peters, Stacy E. Howington, Robert S. Maier, Henry T. Falvey and Michael L. Schneider and has published in prestigious journals such as Journal of Computational Physics, Journal of Colloid and Interface Science and AIAA Journal.

In The Last Decade

Robert S. Bernard

26 papers receiving 912 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Robert S. Bernard United States 11 682 211 161 154 146 29 959
Paulo César Philippi Brazil 19 695 1.0× 306 1.5× 252 1.6× 148 1.0× 103 0.7× 57 1.3k
P. Fowles United Kingdom 9 475 0.7× 48 0.2× 59 0.4× 148 1.0× 112 0.8× 15 784
S. R. Chakravarthy United States 23 1.6k 2.4× 70 0.3× 134 0.8× 71 0.5× 117 0.8× 84 2.1k
W.E. Soll United States 13 370 0.5× 155 0.7× 282 1.8× 431 2.8× 60 0.4× 19 919
M. Fichman Israel 18 521 0.8× 206 1.0× 77 0.5× 479 3.1× 169 1.2× 50 944
A. K. C. Lau United Kingdom 10 997 1.5× 52 0.2× 104 0.6× 48 0.3× 121 0.8× 15 1.2k
Timothy J. O’Hern United States 16 404 0.6× 183 0.9× 98 0.6× 116 0.8× 222 1.5× 59 914
Amgad Salama Saudi Arabia 19 297 0.4× 51 0.2× 144 0.9× 276 1.8× 161 1.1× 87 843
M. C. Yuen United States 14 1.2k 1.8× 389 1.8× 45 0.3× 453 2.9× 247 1.7× 21 1.6k
C. P. Wang United States 4 398 0.6× 125 0.6× 86 0.5× 139 0.9× 122 0.8× 7 721

Countries citing papers authored by Robert S. Bernard

Since Specialization
Citations

This map shows the geographic impact of Robert S. Bernard's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Robert S. Bernard with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Robert S. Bernard more than expected).

Fields of papers citing papers by Robert S. Bernard

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Robert S. Bernard. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Robert S. Bernard. The network helps show where Robert S. Bernard may publish in the future.

Co-authorship network of co-authors of Robert S. Bernard

This figure shows the co-authorship network connecting the top 25 collaborators of Robert S. Bernard. A scholar is included among the top collaborators of Robert S. Bernard based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Robert S. Bernard. Robert S. Bernard is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Maier, Robert S. & Robert S. Bernard. (2009). Lattice-Boltzmann accuracy in pore-scale flow simulation. Journal of Computational Physics. 229(2). 233–255. 44 indexed citations
2.
Bernard, Robert S., et al.. (2007). PAR3D: Numerical Model for Incompressible Flow with Application to Aerosol Dispersion in Complex Enclosures. US Army Corps of Engineers: Engineer Research and Development Center (Knowledge Core).
3.
Maier, Robert S., D. M. Kroll, Robert S. Bernard, et al.. (2001). Pore-scale simulation of dispersion: comparison with NMR experiments. Magnetic Resonance Imaging. 19(3-4). 577–577. 1 indexed citations
4.
Maier, Robert S., Daniel M. Kroll, Robert S. Bernard, et al.. (2000). Pore-scale simulation of dispersion. Physics of Fluids. 12(8). 2065–2079. 182 indexed citations
5.
Bernard, Robert S., et al.. (1999). Secondary Flow Correction for Depth-Averaged Flow Calculations. Journal of Engineering Mechanics. 125(7). 848–863. 36 indexed citations
6.
Maier, Robert S., D. M. Kroll, H. T. Davis, & Robert S. Bernard. (1998). Pore-Scale Flow and Dispersion. International Journal of Modern Physics C. 9(8). 1523–1533. 21 indexed citations
7.
Bernard, Robert S.. (1997). Extension and Validation of the MAC3D Numerical Model for Applications Involving Bubble Diffusers. 833–838. 1 indexed citations
8.
Maier, Robert S. & Robert S. Bernard. (1997). Accuracy of the Lattice-Boltzmann Method. International Journal of Modern Physics C. 8(4). 747–752. 17 indexed citations
9.
Bernard, Robert S., et al.. (1996). A Secondary Flow Correction for Depth-Averaged Flow Calculations. Engineering Mechanics. 301–305. 1 indexed citations
10.
Bernard, Robert S.. (1995). Preliminary Development of a Three-Dimensional Numerical Model for Reservoir Hydrodynamics.. US Army Corps of Engineers: Engineer Research and Development Center (Knowledge Core). 3 indexed citations
11.
Bernard, Robert S. & Michael L. Schneider. (1992). Depth-Averaged Numerical Modeling for Curved Channels. US Army Corps of Engineers: Engineer Research and Development Center (Knowledge Core). 10 indexed citations
12.
Bernard, Robert S.. (1992). A MacCormack scheme for incompressible flow. Computers & Mathematics with Applications. 24(5-6). 151–168. 8 indexed citations
13.
Bernard, Robert S. & Hartmut Kapitza. (1992). How to discretize the pressure gradient for curvilinear MAC grids. Journal of Computational Physics. 99(2). 288–298. 10 indexed citations
14.
Bernard, Robert S.. (1991). A Turbulence Model for Recirculating Flow. US Army Corps of Engineers: Engineer Research and Development Center (Knowledge Core). 1 indexed citations
15.
Bernard, Robert S.. (1990). Secondary-Flow Correction for Depth-Averaged Numerical Models. Hydraulic Engineering. 670–675. 2 indexed citations
16.
Bernard, Robert S. & J. F. Thompson. (1984). Mass conservation on regular grids for incompressible flow. 1 indexed citations
17.
Bernard, Robert S., et al.. (1983). Simulation of a cylindrical solar receiver using a black fluid. 6. 1 indexed citations
18.
Bernard, Robert S.. (1977). Empirical Analysis of Projectile Penetration in Rock. US Army Corps of Engineers: Engineer Research and Development Center (Knowledge Core). 3 indexed citations
19.
Bernard, Robert S.. (1976). Development of a Projectile Penetration Theory. Report 2. Deep Penetration Theory for Homogeneous and Layered Targets. US Army Corps of Engineers: Engineer Research and Development Center (Knowledge Core). 7 indexed citations
20.
Bernard, Robert S., et al.. (1975). Development of a Projectile Penetration Theory. Report 1. Penetration Theory for Shallow to Moderate Depths. US Army Corps of Engineers: Engineer Research and Development Center (Knowledge Core). 4 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Paulo César Philippi Breakdown of academic impact, for papers by P. Fowles Breakdown of academic impact, for papers by S. R. Chakravarthy Breakdown of academic impact, for papers by W.E. Soll Breakdown of academic impact, for papers by M. Fichman Breakdown of academic impact, for papers by A. K. C. Lau Breakdown of academic impact, for papers by Timothy J. O’Hern Breakdown of academic impact, for papers by Amgad Salama Breakdown of academic impact, for papers by M. C. Yuen Breakdown of academic impact, for papers by C. P. Wang
Rankless by CCL
2026