Brackbill, J. U. On energy and momentum conservation in particle-in-cell plasma simulation. (English) Zbl 1349.76916 J. Comput. Phys. 317, 405-427 (2016). MSC: 76X05 76M28 65M75 82C80 82D10 PDFBibTeX XMLCite \textit{J. U. Brackbill}, J. Comput. Phys. 317, 405--427 (2016; Zbl 1349.76916) Full Text: DOI arXiv
Daldorff, Lars K. S.; Tóth, Gábor; Gombosi, Tamas I.; Lapenta, Giovanni; Amaya, Jorge; Markidis, Stefano; Brackbill, Jeremiah U. Two-way coupling of a global Hall magnetohydrodynamics model with a local implicit particle-in-cell model. (English) Zbl 1349.82140 J. Comput. Phys. 268, 236-254 (2014). MSC: 82D10 76W05 76X05 PDFBibTeX XMLCite \textit{L. K. S. Daldorff} et al., J. Comput. Phys. 268, 236--254 (2014; Zbl 1349.82140) Full Text: DOI Link
Brackbill, J. U. Boundary conditions for Maxwell solvers. (English) Zbl 1207.78005 J. Comput. Phys. 227, No. 14, 6715-6719 (2008). Reviewer: Nina Shokina (Freiburg) MSC: 78A25 35Q60 78M20 PDFBibTeX XMLCite \textit{J. U. Brackbill}, J. Comput. Phys. 227, No. 14, 6715--6719 (2008; Zbl 1207.78005) Full Text: DOI
Cummins, S. J.; Brackbill, J. U. An implicit particle-in-cell method for granular materials. (English) Zbl 1143.74388 J. Comput. Phys. 180, No. 2, 506-548 (2002). MSC: 74S30 74E20 76M28 76T25 PDFBibTeX XMLCite \textit{S. J. Cummins} and \textit{J. U. Brackbill}, J. Comput. Phys. 180, No. 2, 506--548 (2002; Zbl 1143.74388) Full Text: DOI
Ricci, Paolo; Lapenta, Giovanni; Brackbill, J. U. A simplified implicit Maxwell solver. (English) Zbl 1036.78012 J. Comput. Phys. 183, No. 1, 117-141 (2002). MSC: 78M20 65M06 78A02 76M28 PDFBibTeX XMLCite \textit{P. Ricci} et al., J. Comput. Phys. 183, No. 1, 117--141 (2002; Zbl 1036.78012) Full Text: DOI Link
Jamet, Didier; Torres, David; Brackbill, J. U. On the theory and computation of surface tension: the elimination of parasitic currents through energy conservation in the second-gradient method. (English) Zbl 1058.76597 J. Comput. Phys. 182, No. 1, 262-276 (2002). MSC: 76M99 76A05 PDFBibTeX XMLCite \textit{D. Jamet} et al., J. Comput. Phys. 182, No. 1, 262--276 (2002; Zbl 1058.76597) Full Text: DOI Link
Torres, D. J.; Brackbill, J. U. The point-set method: Front-tracking without connectivity. (English) Zbl 0998.76070 J. Comput. Phys. 165, No. 2, 620-644 (2000). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{D. J. Torres} and \textit{J. U. Brackbill}, J. Comput. Phys. 165, No. 2, 620--644 (2000; Zbl 0998.76070) Full Text: DOI Link
Knoll, D. A.; Lapenta, G.; Brackbill, J. U. A multilevel iterative field solver for implicit, kinetic, plasma simulation. (English) Zbl 0934.76048 J. Comput. Phys. 149, No. 2, 377-388 (1999). MSC: 76M12 76X05 65F10 PDFBibTeX XMLCite \textit{D. A. Knoll} et al., J. Comput. Phys. 149, No. 2, 377--388 (1999; Zbl 0934.76048) Full Text: DOI
Vu, H. X.; Brackbill, J. U. Accurate numerical solution of charged particle motion in a magnetic field. (English) Zbl 0824.65130 J. Comput. Phys. 116, No. 2, 384-387 (1995). Reviewer: O.Dementev (Chelyabinsk) MSC: 65Z05 65M06 65M15 35Q60 78A35 PDFBibTeX XMLCite \textit{H. X. Vu} and \textit{J. U. Brackbill}, J. Comput. Phys. 116, No. 2, 384--387 (1995; Zbl 0824.65130) Full Text: DOI
Lapenta, Giovanni; Brackbill, Jeremiah U. Dynamic and selective control of the number of particles in kinetic plasma simulations. (English) Zbl 0811.76060 J. Comput. Phys. 115, No. 1, 213-227 (1994). MSC: 76M25 76X05 PDFBibTeX XMLCite \textit{G. Lapenta} and \textit{J. U. Brackbill}, J. Comput. Phys. 115, No. 1, 213--227 (1994; Zbl 0811.76060) Full Text: DOI
Brackbill, J. U.; Lapenta, Giovanni A method to suppress the finite-grid instability in plasma simulations. (English) Zbl 0807.76049 J. Comput. Phys. 114, No. 1, 77-84 (1994). MSC: 76M20 76X05 PDFBibTeX XMLCite \textit{J. U. Brackbill} and \textit{G. Lapenta}, J. Comput. Phys. 114, No. 1, 77--84 (1994; Zbl 0807.76049) Full Text: DOI
O’Rourke, Peter J.; Brackbill, J. U.; Larrouturou, Bernard On particle-grid interpolation and calculating chemistry in particle-in- cell methods. (English) Zbl 0807.65135 J. Comput. Phys. 109, No. 1, 37-52 (1993). Reviewer: K.Frischmuth (Rostock) MSC: 65Z05 65M06 65M60 65M15 35Q72 92E20 80A32 PDFBibTeX XMLCite \textit{P. J. O'Rourke} et al., J. Comput. Phys. 109, No. 1, 37--52 (1993; Zbl 0807.65135) Full Text: DOI
Brackbill, J. U. An adaptive grid with directional control. (English) Zbl 0832.65132 J. Comput. Phys. 108, No. 1, 38-50 (1993). MSC: 65N50 PDFBibTeX XMLCite \textit{J. U. Brackbill}, J. Comput. Phys. 108, No. 1, 38--50 (1993; Zbl 0832.65132) Full Text: DOI
Burgess, D.; Sulsky, D.; Brackbill, J. U. Mass matrix formulation of the FLIP particle-in-cell method. (English) Zbl 0761.73117 J. Comput. Phys. 103, No. 1, 1-15 (1992). MSC: 74S30 74H45 PDFBibTeX XMLCite \textit{D. Burgess} et al., J. Comput. Phys. 103, No. 1, 1--15 (1992; Zbl 0761.73117) Full Text: DOI
Brackbill, J. U.; Kothe, D. B.; Zemach, C. A continuum method for modeling surface tension. (English) Zbl 0775.76110 J. Comput. Phys. 100, No. 2, 335-354 (1992). MSC: 76M20 76D45 76B45 PDFBibTeX XMLCite \textit{J. U. Brackbill} et al., J. Comput. Phys. 100, No. 2, 335--354 (1992; Zbl 0775.76110) Full Text: DOI
Sulsky, Deborah; Brackbill, J. U. A numerical method for suspension flow. (English) Zbl 0727.76082 J. Comput. Phys. 96, No. 2, 339-368 (1991). MSC: 76M20 76D05 76T99 PDFBibTeX XMLCite \textit{D. Sulsky} and \textit{J. U. Brackbill}, J. Comput. Phys. 96, No. 2, 339--368 (1991; Zbl 0727.76082) Full Text: DOI
Brackbill, J. U. FLIP MHD: A particle-in-cell method for magnetohydrodynamics. (English) Zbl 0726.76078 J. Comput. Phys. 96, No. 1, 163-192 (1991). MSC: 76M25 76W05 PDFBibTeX XMLCite \textit{J. U. Brackbill}, J. Comput. Phys. 96, No. 1, 163--192 (1991; Zbl 0726.76078) Full Text: DOI
Brackbill, J. U. The ringing instability in particle-in-cell calculations of low-speed flow. (English) Zbl 0638.76068 J. Comput. Phys. 75, No. 2, 469-492 (1988). MSC: 76E25 76X05 76M99 PDFBibTeX XMLCite \textit{J. U. Brackbill}, J. Comput. Phys. 75, No. 2, 469--492 (1988; Zbl 0638.76068) Full Text: DOI
Brackbill, J. U.; Ruppel, H. M. FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions. (English) Zbl 0592.76090 J. Comput. Phys. 65, 314-343 (1986). MSC: 76K05 76J20 76M99 PDFBibTeX XMLCite \textit{J. U. Brackbill} and \textit{H. M. Ruppel}, J. Comput. Phys. 65, 314--343 (1986; Zbl 0592.76090) Full Text: DOI
Cranfill, C. W.; Brackbill, J. U.; Goldman, S. R. A time-implicit Monte Carlo collision algorithm for particle-in-cell electron transport models. (English) Zbl 0588.65081 J. Comput. Phys. 66, 239-249 (1986). MSC: 65Z05 65C05 76X05 35Q99 PDFBibTeX XMLCite \textit{C. W. Cranfill} et al., J. Comput. Phys. 66, 239--249 (1986; Zbl 0588.65081) Full Text: DOI
Wallace, Jon M.; Brackbill, Jeremiah U.; Forslund, David W. An implicit moment electromagnetic plasma simulation in cylindrical coordinates. (English) Zbl 0587.76203 J. Comput. Phys. 63, 434-457 (1986). MSC: 76X05 76M99 82D10 65N06 PDFBibTeX XMLCite \textit{J. M. Wallace} et al., J. Comput. Phys. 63, 434--457 (1986; Zbl 0587.76203) Full Text: DOI
Bernhardt, Paul A.; Brackbill, J. U. Solution of elliptic equations using fast Poisson solvers. (English) Zbl 0534.65055 J. Comput. Phys. 53, 382-394 (1984). MSC: 65N22 65F10 35J25 76X05 PDFBibTeX XMLCite \textit{P. A. Bernhardt} and \textit{J. U. Brackbill}, J. Comput. Phys. 53, 382--394 (1984; Zbl 0534.65055) Full Text: DOI
Brackbill, J. U.; Forslund, D. W. An implicit method for electromagnetic plasma simulation in two dimensions. (English) Zbl 0489.76127 J. Comput. Phys. 46, 271-308 (1982). MSC: 76X05 76M99 65C20 PDFBibTeX XMLCite \textit{J. U. Brackbill} and \textit{D. W. Forslund}, J. Comput. Phys. 46, 271--308 (1982; Zbl 0489.76127) Full Text: DOI
Brackbill, J. U.; Saltzman, J. S. Adaptive zoning for singular problems in two dimensions. (English) Zbl 0489.76007 J. Comput. Phys. 46, 342-368 (1982). MSC: 76M99 65N50 PDFBibTeX XMLCite \textit{J. U. Brackbill} and \textit{J. S. Saltzman}, J. Comput. Phys. 46, 342--368 (1982; Zbl 0489.76007) Full Text: DOI
Brackbill, J. U.; Barnes, D. C. The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations. (English) Zbl 0429.76079 J. Comput. Phys. 35, 426-430 (1980). MSC: 76W05 PDFBibTeX XMLCite \textit{J. U. Brackbill} and \textit{D. C. Barnes}, J. Comput. Phys. 35, 426--430 (1980; Zbl 0429.76079) Full Text: DOI
Brackbill, J. U.; Pracht, W. E. An implicit, almost-Lagrangian algorithm for magnetohydrodynamics. (English) Zbl 0288.76050 J. Comput. Phys. 13, 455-482 (1973). MSC: 76W05 PDFBibTeX XMLCite \textit{J. U. Brackbill} and \textit{W. E. Pracht}, J. Comput. Phys. 13, 455--482 (1973; Zbl 0288.76050) Full Text: DOI