A surface model for aeolian bedform topography is adapted from a surface model of subaqueous bedform topography. The aeolian bedform surface model is developed using a uniform grid with a cell-centered finite volume approximation of the sediment continuity equation. The resulting modeling framework approximates the dynamic motions of aeolian bedform topography driven by bedform field boundary conditions. The numerical model is applied to simulate bedforms growing from unimodal and bimodal transport regimes from both a fixed elevation (sediment source area) and within a domain with fully periodic boundary conditions. The rates at which modeled aeolian bedforms grow and morphologically mature are sensitive to the chosen boundary conditions. Video files of model simulations and source code for the presented aeolian bedform surface modeling framework are available in supplemental materials. The aeolian bedform surface model code is malleable and readily modified for exploratory study of dynamic bedform topography that inherits morphological traits from aeolian bedform field boundary conditions.
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Baas JH (1994) A flume study on the development and equilibrium morphology of current ripples in very fine sand. Sedimentology 41(2):185–209. doi:10.1111/j.1365-3091.1994.tb01400.x
Bagnold RA (1941) The physics of blown sand and desert dunes. Methuen, London
Barabási A-L (1995) Fractal concepts in surface growth. Cambridge University Press, Cambridge. doi:10.1017/CBO9780511599798
Diniega S (2010) Modeling aeolian dune and dune field evolution. Dissertation, The University of Arizona
du Pont SC, Narteau C, Gao X (2014) Two modes for dune orientation. Geology 42(9):743–746. doi:10.1130/G35657.1
Eastwood EN, Kocurek G, Mohrig D, Swanson T (2012) Methodology for reconstructing wind direction, wind speed and duration of wind events from aeolian cross-strata. J Geophys Res Earth 117(F3):F03035. doi:10.1029/2012jf002368
Ewing RC, Kocurek G, Lake LW (2006) Pattern analysis of dune-field parameters. Earth Surf Process Landf 31(9):1176–1191. doi:10.1002/esp.1312
Exner FM (1925) Über die Wechselwirkung zwischen Wasser und Geschiebe in Flüssen (in German). Sitz Acad Wiss Wien Math Naturwiss Abt 2a 134:165–203
Hersen P (2004) On the crescentic shape of barchan dunes. Eu Phys J B Condens Matter Complex Syst 37(4):507–514. doi:10.1140/epjb/e2004-00087-y
Jackson P, Hunt J (1975) Turbulent wind flow over a low hill. Q J R Meteorol Soc 101(430):929–955. doi:10.1002/qj.49710143015
Jerolmack DJ, Ewing RC, Falcini F, Martin RL, Masteller C, Phillips C, Reitz MD, Buynevich I (2012) Internal boundary layer model for the evolution of desert dune fields. Nat Geosci 5(3):206–209. doi:10.1038/ngeo1381
Jerolmack DJ, Mohrig D (2005) A unified model for subaqueous bed form dynamics. Water Resour Res 41(12):W12421. doi:10.1029/2005WR004329
Khosronejad A, Sotiropoulos F (2014) Numerical simulation of sand waves in a turbulent open channel flow. J Fluid Mech 753:150–216. doi:10.1017/jfm.2014.335
Kocurek G, Ewing RC, Mohrig D (2010) How do bedform patterns arise? New views on the role of bedform interactions within a set of boundary conditions. Earth Surf Process Landf 35(1):51–63. doi:10.1002/esp.1913
Kocurek G, Townsley M, Yeh E, Havholm K, Sweet M (1992) Dune and dune-field development on Padre Island, Texas, with implications for interdune deposition and water-table-controlled accumulation. J Sediment Res 62(4):
Kroy K, Sauermann G, Herrmann HJ (2002) Minimal model for aeolian sand dunes. Phys Rev E 66(3):031302. doi:10.1103/physreve.66.031302
Lancaster N, Nickling W, Neuman CM, Wyatt V (1996) Sediment flux and airflow on the stoss slope of a barchan dune. Geomorphology 17(1):55–62. doi:10.1016/0169-555X(95)00095-M
Meyer-Peter E, Müller R (1948) Formulas for bed-load transport. Proceedings of the 2nd meeting. IAHR, Stockholm, pp 39–64
Murray AB, Thieler ER (2004) A new hypothesis and exploratory model for the formation of large-scale inner-shelf sediment sorting and “rippled scour depressions”. Cont Shelf Res 24(3):295–315. doi:10.1016/j.csr.2003.11.001
Murray AB (2007) Reducing model complexity for explanation and prediction. Geomorphology 90(3):178–191. doi:10.1016/j.geomorph.2006.10.020
Ping L, Narteau C, Dong Z, Zhang Z, Courrech du Pont S (2014) Emergence of oblique dunes in a landscape-scale experiment. Nat Geosci 7(2):99–103. doi:10.1038/ngeo2047
Press WH, Teukolsky S, Vetterling W, Flannery B (1988) Numerical recipes in C. Cambridge University Press, Cambridge
Rubin DM, Hunter RE (1987) Bedform alignment in directionally varying flows. Science 237(4812):276–278. doi:10.1126/science.237.4812.276
Werner BT (1995) Eolian dunes: computer simulations and attractor interpretation. Geology 23(12):1107–1110. doi:10.1130/0091-7613(1995)023<1107:EDCSAA>2.3.CO;2
Caroline Hern generously provided continuous feedback and conceptual steering for this project. We thank Matthew Wolinsky and Mauricio Perillo for helpful guidance and suggestions concerning code development. The authors are grateful for the thoughts and comments provided by Roussos Dimitrakopoulos and Brad Murray during the revision of this manuscript. Funding for this work was provided by Shell International Exploration & Production Inc. This work does not reflect the views of Shell International Exploration & Production Inc.
Appendix: Fitted Parameters
Appendix: Fitted Parameters
See Table 3.
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Swanson, T., Mohrig, D., Kocurek, G. et al. A Surface Model for Aeolian Dune Topography. Math Geosci 49, 635–655 (2017). https://doi.org/10.1007/s11004-016-9654-x
- Exploratory numerical model