ORCID Profile
0000-0002-6730-3108
Current Organisation
Australian National University
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Numerical and Computational Mathematics | Agriculture, Land and Farm Management | Geology | Information Systems | Natural Resource Management | Sustainable Development | Distributed and Grid Systems | Numerical Computation | Numerical Solution of Differential and Integral Equations | Software Engineering | Information Systems Organisation | Mathematical Sciences Not Elsewhere Classified | Landscape Ecology | Geology Not Elsewhere Classified | Environmental Sciences Not Elsewhere Classified | Global Information Systems |
Information processing services | Land and water management | Technological and organisational innovation | Integrated (ecosystem) assessment and management | Environmental and resource evaluation not elsewhere classified | Exploration | Application Software Packages (excl. Computer Games) | Expanding Knowledge in the Information and Computing Sciences | Expanding Knowledge in the Mathematical Sciences | Other
Publisher: American Chemical Society (ACS)
Date: 08-11-2017
Publisher: Springer Berlin Heidelberg
Date: 2008
Publisher: Springer Science and Business Media LLC
Date: 18-07-2017
Publisher: Australian Mathematical Publishing Association, Inc.
Date: 07-12-2021
DOI: 10.21914/ANZIAMJ.V62.16094
Abstract: A computationally efficient and robust s ling scheme can support a sensitivity analysis of models to discover their behaviour through Quasi Monte Carlo approximation. This is especially useful for complex models, as often occur in environmental domains when model runtime can be prohibitive. The Sobol' sequence is one of the most used quasi-random low-discrepancy sequences as it can explore the parameter space significantly more evenly than pseudo-random sequences. The built-in determinism of the Sobol' sequence assists in achieving this attractive property. However, the Sobol' sequence tends to deteriorate in the sense that the estimated errors are distributed inconsistently across model parameters as the dimensions of a model increase. By testing multiple Sobol' sequence implementations, it is clear that the deterministic nature of the Sobol' sequence occasionally introduces relatively large errors in sensitivity indices produced by well-known global sensitivity analysis methods, and that the errors do not diminish by averaging through multiple replications. Problematic sensitivity indices may mistakenly guide modellers to make type I and II errors in trying to identify sensitive parameters, and this will potentially impact model reduction attempts based on these sensitivity measurements. This work investigates the cause of the Sobol' sequence's determinism-related issues. References I. A. Antonov and V. M. Saleev. An economic method of computing LPτ-sequences. USSR Comput. Math. Math. Phys. 19.1 (1979), pp. 252–256. doi: 10.1016/0041-5553(79)90085-5 P. Bratley and B. L. Fox. Algorithm 659: Implementing Sobol’s quasirandom sequence generator. ACM Trans. Math. Soft. 14.1 (1988), pp. 88–100. doi: 10.1145/42288.214372 J. Feinberg and H. P. Langtangen. Chaospy: An open source tool for designing methods of uncertainty quantification. J. Comput. Sci. 11 (2015), pp. 46–57. doi: 10.1016/j.jocs.2015.08.008 on p. C90). S. Joe and F. Y. Kuo. Constructing Sobol sequences with better two-dimensional projections. SIAM J. Sci. Comput. 30.5 (2008), pp. 2635–2654. doi: 10.1137/070709359 S. Joe and F. Y. Kuo. Remark on algorithm 659: Implementing Sobol’s quasirandom sequence generator. ACM Trans. Math. Soft. 29.1 (2003), pp. 49–57. doi: 10.1145/641876.641879 W. J. Morokoff and R. E. Caflisch. Quasi-random sequences and their discrepancies. SIAM J. Sci. Comput. 15.6 (1994), pp. 1251–1279. doi: 10.1137/0915077 X. Sun, B. Croke, S. Roberts, and A. Jakeman. Comparing methods of randomizing Sobol’ sequences for improving uncertainty of metrics in variance-based global sensitivity estimation. Reliab. Eng. Sys. Safety 210 (2021), p. 107499. doi: 10.1016/j.ress.2021.107499 S. Tarantola, W. Becker, and D. Zeitz. A comparison of two s ling methods for global sensitivity analysis. Comput. Phys. Com. 183.5 (2012), pp. 1061–1072. doi: 10.1016/j.cpc.2011.12.015 S. Tezuka. Discrepancy between QMC and RQMC, II. Uniform Dist. Theory 6.1 (2011), pp. 57–64. url: pcwww.liv.ac.uk/~karpenk/JournalUDT/vol06/no1/5Tezuka11-1.pdf I. M. Sobol′. On the distribution of points in a cube and the approximate evaluation of integrals. USSR Comput. Math. Math. Phys. 7.4 (1967), pp. 86–112. doi: 10.1016/0041-5553(67)90144-9 I. M. Sobol′. Sensitivity estimates for nonlinear mathematical models. Math. Model. Comput. Exp 1.4 (1993), pp. 407–414.
Publisher: Copernicus GmbH
Date: 02-2022
DOI: 10.5194/NHESS-22-265-2022
Abstract: Abstract. The combined effect of global sea level rise and land subsidence phenomena poses a major threat to coastal settlements. Coastal flooding events are expected to grow in frequency and magnitude, increasing the potential economic losses and costs of adaptation. In Italy, a large share of the population and economic activities are located along the low-lying coastal plain of the North Adriatic coast, one of the most sensitive areas to relative sea level changes. Over the last half a century, this stretch of coast has experienced a significant rise in relative sea level, the main component of which was land subsidence in the forthcoming decades, climate-induced sea level rise is expected to become the first driver of coastal inundation hazard. We propose an assessment of flood hazard and risk linked with extreme sea level scenarios, under both historical conditions and sea level rise projections in 2050 and 2100. We run a hydrodynamic inundation model on two pilot sites located along the North Adriatic coast of Emilia-Romagna: Rimini and Cesenatico. Here, we compare alternative extreme sea level scenarios accounting for the effect of planned and hypothetical seaside renovation projects against the historical baseline. We apply a flood damage model to estimate the potential economic damage linked to flood scenarios, and we calculate the change in expected annual damage according to changes in the relative sea level. Finally, damage reduction benefits are evaluated by means of cost–benefit analysis. Results suggest an overall profitability of the investigated projects over time, with increasing benefits due to increased probability of intense flooding in the near future.
Publisher: Royal Society of Chemistry (RSC)
Date: 2016
DOI: 10.1039/C6TA06972J
Abstract: A boron- and nitrogen-co-doped mesoporous carbon (B x CN) material with a hierarchical pore structure has been synthesized from a new boron precursor via a nanocasting approach.
Publisher: Springer Science and Business Media LLC
Date: 03-07-2015
Publisher: Elsevier BV
Date: 09-2014
Publisher: Royal Society of Chemistry (RSC)
Date: 2021
DOI: 10.1039/D1RE00054C
Abstract: The current template route provides Cu 2 O nanocrystals with various shapes and depends on the homologues of glucose. These morphology-controlled Cu 2 O nanocrystals show high activity for the external base-free Ullmann homocoupling of aryl halides.
Publisher: Informa UK Limited
Date: 09-2022
Publisher: Informa UK Limited
Date: 2023
DOI: 10.2147/HIV.S395238
Publisher: Royal Society of Chemistry (RSC)
Date: 2023
DOI: 10.1039/D2GC03664A
Abstract: The ever-growing demand for sustainable energy and chemicals associated with declining fossil reserves motivates the quest for alternative feedstocks and processes.
Publisher: Geological Society of London
Date: 2007
DOI: 10.1144/SP292.22
Publisher: Elsevier BV
Date: 12-2015
Publisher: Springer Science and Business Media LLC
Date: 11-02-2015
Publisher: IOP Publishing
Date: 10-04-2013
Publisher: MDPI AG
Date: 03-2020
DOI: 10.3390/SYM12030345
Abstract: This paper proposes some formulations of weak local residuals of shallow-water-type equations, namely, one-, one-and-a-half-, and two-dimensional shallow water equations. Smooth parts of numerical solutions have small absolute values of weak local residuals. Rougher parts of numerical solutions have larger absolute values of weak local residuals. This behaviour enables the weak local residuals to detect parts of numerical solutions which are smooth and rough (non-smooth). Weak local residuals that we formulate are implemented successfully as refinement or coarsening indicators for adaptive mesh finite volume methods used to solve shallow water equations.
Publisher: Elsevier BV
Date: 12-2016
Publisher: Springer Science and Business Media LLC
Date: 11-01-2012
Publisher: IOP Publishing
Date: 02-2016
Publisher: Elsevier BV
Date: 04-2014
Publisher: Elsevier BV
Date: 03-1985
Publisher: Wiley
Date: 2000
DOI: 10.1002/1097-0363(20000615)33:3<429::AID-FLD60>3.0.CO;2-1
Publisher: Elsevier BV
Date: 06-2001
Publisher: Royal Society of Chemistry (RSC)
Date: 2018
DOI: 10.1039/C7SE00363C
Abstract: 2,5 Dimethylfuran (DMF) can be considered as a promising new generation alternative fuel, which has the potential to solve the fossil fuel shortage and also the ongoing global warming issues.
Publisher: Elsevier BV
Date: 04-1990
Publisher: Geological Society of London
Date: 1998
Publisher: American Society of Civil Engineers (ASCE)
Date: 2003
Publisher: Elsevier BV
Date: 06-2000
Publisher: Wiley
Date: 11-09-2017
Publisher: Elsevier BV
Date: 2018
Publisher: Cambridge University Press (CUP)
Date: 10-2019
DOI: 10.1017/S1446181119000154
Abstract: The numerical entropy production (NEP) for shallow water equations (SWE) is discussed and implemented as a smoothness indicator. We consider SWE in three different dimensions, namely, one-dimensional, one-and-a-half-dimensional, and two-dimensional SWE. An existing numerical entropy scheme is reviewed and an alternative scheme is provided. We prove the properties of these two numerical entropy schemes relating to the entropy steady state and consistency with the entropy equality on smooth regions. Simulation results show that both schemes produce NEP with the same behaviour for detecting discontinuities of solutions and perform similarly as smoothness indicators. An implementation of the NEP for an adaptive numerical method is also demonstrated.
Publisher: Wiley
Date: 11-2004
Publisher: Elsevier BV
Date: 08-2017
Publisher: Australian Mathematical Publishing Association, Inc.
Date: 07-02-2022
DOI: 10.21914/ANZIAMJ.V62.16117
Abstract: The projection method was first introduced by Chorin [Bull. AMS 73 (1967), pp. 928–931] and Temam [Arch. Rat. Mech. Anal. 33 (1969), pp. 377–385] as a computationally efficient numerical method to solve the incompressible Navier–Stokes equations. Despite its success in decoupling the computations of velocity and pressure, it suffers from inaccurate numerical boundary layers. As an effort to resolve this inaccuracy, E and Liu [Int. J. Numer. Meth. Fluids 34 (2000), pp. 701–710] proposed the gauge method, which is a reformulation of the Navier–Stokes equations in terms of an auxiliary vector field and a gauge variable. This method utilizes the freedom of choosing a boundary condition for the gauge variable to reduce the numerical coupling between the considered variables. Nevertheless, the computational implementation of the boundary conditions for the auxiliary vector field is difficult in the context of finite elements since they involve either the normal or tangential derivative of the gauge variable. In order to circumvent this issue, we propose a weak formulation of the boundary conditions based on the symmetric Nitsche method. Computational results are presented to illustrate the accuracy of the proposed method. References J. H. Bramble, J. E. Pasciak, and A. T. Vassilev. Analysis of the Iinexact Uzawa algorithm for saddle point problems. SIAM J. Numer. Anal. 34.3 (1997), pp. 1072–1092. doi: 10.1137/S0036142994273343 D. L. Brown, R. Cortez, and M. L. Minion. Accurate projection methods for the incompressible Navier–Stokes equations. J. Comput. Phys. 168.2 (2001), pp. 464–499. doi: 10.1006/jcph.2001.6715 A. J. Chorin. The numerical solution of the Navier–Stokes equations for an incompressible fluid. Bull. Amer. Math. Soc. 73 (1967), pp. 928–931. doi: 10.1090/s0002-9904-1967-11853-6 on p. C100). W. E and J.-G. Liu. Gauge finite element method for incompressible flows. Int. J. Numer. Meth. Fluids 34 (2000), pp. 701–710. doi: 10.1002/1097-0363(20001230)34:8 ::AID-FLD76 .0.CO -B W. E and J.-G. Liu. Projection method I: Convergence and numerical boundary layers. SIAM J. Numer. Anal. 32 (1995), pp. 1017–1057. doi: 10.1137/0732047 W. Ef and J.-G. Liu. Gauge method for viscous incompressible flows. Commun. Math. Sci. 1.2 (2003), pp. 317–332. doi: 10.4310/CMS.2003.v1.n2.a6 A. Ern and J.-L. Guermond. Theory and practice of finite elements. Vol. 159. Applied mathematical sciences. Springer, 2004. doi: 10.1007/978-1-4757-4355-5 P. Hansbo. Nitsche’s method for interface problems in computational mechanics. GAMM-Mitteilungen 28.2 (2005), pp. 183–206. doi: 10.1002/gamm.201490018 W. Layton, N. Mays, M. Neda, and C. Trenchea. Numerical analysis of modular regularization methods for the BDF2 time discretization of the Navier–Stokes equations. Math. Model. Numer. Anal. 48.3 (2014), pp. 765–793. doi: 10.1051/m2an/2013120 A. Logg, K.-A. Mardal, and G. Wells. Automated solution of differential equations by the finite element method: The FEniCS book. Vol. 84. Lecture notes in computational science and engineering. Springer, 2012. doi: 10.1007/978-3-642-23099-8 R. Mekhlouf, A. Baggag, and L. Remaki. Assessment of Nitsche’s method for Dirichlet boundary conditions treatment. J. Fluid Flow, Heat Mass Trans. 4.1 (2017), pp. 54–63. doi: 10.11159/jffhmt.2017.007 J. Nitsche. Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abh. Math. Semin. Univ. Hambg. Vol. 36. Springer. 1971, pp. 9–15. doi: 10.1007/BF02995904 R. H. Nochetto and J.-H. Pyo. The gauge-Uzawa finite element method. Part I: The Navier–Stokes equations. SIAM J. Numer. Anal. 43.3 (2005), pp. 1043–1068. doi: 10.1137/040609756 J.-H. Pyo. Error estimates for the second order semi-discrete stabilized gauge-Uzawa method for the Navier–Stokes equations. Int. J. Numer. Anal. Mod. 10.1 (2013). url: ntro/article_detail/ijnam/557.html L. Ridgway Scott. Introduction to automated modeling with FEniCS. Computational Modeling Initiative, 2018. url: www.cminit.company ublications R. Temam. Sur l’approximation de la solution des équations de Navier–Stokes par la méthode des pas fractionnaires (II). Arch. Rat. Mech. Anal. 33.5 (1969), pp. 377–385. doi: 10.1007/BF00247696 C. Wang and J.-G. Liu. Convergence of gauge method for incompressible flow. Math. Comput. 69 (2000), pp. 1385–1407. doi: 10.1090/S0025-5718-00-01248-5 K. Wiratama. A comparison of projection and gauge methods for numerical incompressible fluid dynamics. Masters thesis. Australian National University, Oct. 2019 H. Zhang. Application of projection methods to the numerical solution of the incompressible Navier Stokes equations. Honours thesis. Australian National University, Oct. 2014
Publisher: American Society of Civil Engineers (ASCE)
Date: 07-1999
Publisher: Elsevier BV
Date: 11-2022
Publisher: Elsevier BV
Date: 11-2017
Publisher: Informa UK Limited
Date: 10-2021
DOI: 10.2147/HIV.S327967
Publisher: Wiley
Date: 09-06-2012
DOI: 10.1002/FLD.2607
Publisher: Copernicus GmbH
Date: 12-01-2021
Abstract: Abstract. The combined effect of global sea level rise and local subsidence phenomena poses a major threat to coastal settlements. Flooding events are expected to grow in frequency and magnitude, increasing the potential economic losses and costs of adaptation. In Italy, a large share of the population and economic activities are located along the coast of the peninsula, although risk of inundation is not uniformly distributed. The low-lying coastal plain of Northeast Italy is the most sensitive to relative sea level changes. Over the last half a century, the entire north-eastern Italian coast has experienced a significant rise in relative sea level, the main component of which was land subsidence. In the forthcoming decades, sea level rise is expected to become the first driver of coastal inundation hazard. We propose an assessment of flood hazard and risk linked with extreme sea level scenarios, both under historical conditions and sea level rise projections at 2050 and 2100. We run a hydrodynamic inundation model on two pilot sites located in the North Adriatic Sea along the Emilia-Romagna coast: Rimini and Cesenatico. Here, we compare alternative risk scenarios accounting for the effect of planned and hypothetical seaside renovation projects against the historical baseline. We apply a flood damage model developed for Italy to estimate the potential economic damage linked to flood scenarios and we calculate the change in expected annual damage according to changes in the relative sea level. Finally, damage reduction benefits are evaluated by means of cost-benefit analysis. Results suggest an overall profitability of the investigated projects over time, with increasing benefits due to increased probability of intense flooding in the next future.
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2003
Publisher: Springer Science and Business Media LLC
Date: 26-08-2006
Publisher: Cambridge University Press (CUP)
Date: 28-03-2016
DOI: 10.1017/S144618111600002X
Abstract: The nonlinear and weakly dispersive Serre equations contain higher-order dispersive terms. These include mixed spatial and temporal derivative flux terms which are difficult to handle numerically. These terms can be replaced by an alternative combination of equivalent temporal and spatial terms, so that the Serre equations can be written in conservation law form. The water depth and new conserved quantities are evolved using a second-order finite-volume scheme. The remaining primitive variable, the depth-averaged horizontal velocity, is obtained by solving a second-order elliptic equation using simple finite differences. Using an analytical solution and simulating the dam-break problem, the proposed scheme is shown to be accurate, simple to implement and stable for a range of problems, including flows with steep gradients. It is only slightly more computationally expensive than solving the shallow water wave equations.
Publisher: Wiley
Date: 02-11-2017
Abstract: A novel catalyst composed of silver nanoparticles grafted on WCN
Publisher: Elsevier BV
Date: 2016
Location: United States of America
Start Date: 2011
End Date: 2014
Funder: Australian Research Council
View Funded ActivityStart Date: 07-2011
End Date: 06-2016
Amount: $446,000.00
Funder: Australian Research Council
View Funded ActivityStart Date: 12-2003
End Date: 12-2004
Amount: $10,000.00
Funder: Australian Research Council
View Funded ActivityStart Date: 2004
End Date: 12-2004
Amount: $10,000.00
Funder: Australian Research Council
View Funded ActivityStart Date: 12-2003
End Date: 12-2004
Amount: $10,000.00
Funder: Australian Research Council
View Funded Activity