Numerical modelling of moisture motion in heterogeneous soils using 1D-MIRBF method

Poster

Ngo-Cong, Duc, An-Vo, Duc-Anh and Nguyen-Ky, Tai. 2014. "Numerical modelling of moisture motion in heterogeneous soils using 1D-MIRBF method." 2nd Digital Rural Futures Conference 2014. Toowoomba, Australia 25 - 27 Jun 2014
Paper/Presentation Title

Numerical modelling of moisture motion in heterogeneous soils using 1D-MIRBF method

Presentation TypePoster
AuthorsNgo-Cong, Duc (Author), An-Vo, Duc-Anh (Author) and Nguyen-Ky, Tai (Author)
Year2014
Conference/Event2nd Digital Rural Futures Conference 2014
Event Details
2nd Digital Rural Futures Conference 2014
Event Date
25 to end of 27 Jun 2014
Event Location
Toowoomba, Australia
Abstract

In the present paper, we develop an efficient and accurate numerical approach based on one-dimensional-moving integrated radial basis function (1D-MIRBF) and fully implicit modified Picard method for simulating fluid movement in heterogeneous soils governed by the highly non-linear Richards equation. The major advantages of the proposed 1D-MIRBF method include (i) a banded sparse system matrix that helps reduce the computational cost; (ii) the Kronecker Delta property of the constructed shape functions, which helps impose the essential boundary conditions in an exact manner; and (iii) high accuracy and fast convergence rate owing to the use of the IRBF approximation. The performance of the present method is demonstrated through several 1--D and 2--D soil infiltration problems. Numerical results obtained are in agreement with other published results in the literature. This solver for moisture motion in soils will be incorporated into a surface-water-flow solver to handle the surface irrigation problem.

ANZSRC Field of Research 2020490399. Numerical and computational mathematics not elsewhere classified
Byline AffiliationsComputational Engineering and Science Research Centre
Institution of OriginUniversity of Southern Queensland
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Mohammed, F. J., Strunin, D. V., Ngo-Cong, D. and Tran-Cong, T.. 2015. "Asymptotics of averaged turbulent transfer in canopy flows." Journal of Engineering Mathematics. 91 (1), pp. 81-104. https://doi.org/10.1007/s10665-014-9737-y
Modelling dispersion in laminar and turbulent flows in an open channel based on centre manifolds using 1D-IRBFN method
Mohammed, F. J., Ngo-Cong, D., Strunin, D. V., Mai-Duy, N. and Tran-Cong, T.. 2014. "Modelling dispersion in laminar and turbulent flows in an open channel based on centre manifolds using 1D-IRBFN method." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 38 (14), pp. 3672-3691. https://doi.org/10.1016/j.apm.2013.12.007
An improved chaos method for monitoring the depth of anaesthesia
Nguyen-Ky, Tai, Wen, Peng and Li, Yan. 2013. "An improved chaos method for monitoring the depth of anaesthesia." Duc, Nguyen Minh and BenLetaief, Khaled (ed.) International Conference on Computing, Management and Telecommunications (ComManTel 2013). Ho Chi Minh City, Vietnam 21 - 24 Jan 2013 United States. https://doi.org/10.1109/ComManTel.2013.6482413
ADI method based on C2-continuous two-node integrated-RBF elements for viscous flows
An-Vo, D.-A., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2013. "ADI method based on C2-continuous two-node integrated-RBF elements for viscous flows." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 37 (7), pp. 5184-5203. https://doi.org/10.1016/j.apm.2012.10.034
Consciousness and depth of anesthesia assessment based on Bayesian analysis of EEG signals
Nguyen-Ky, Tai, Wen, Peng (Paul) and Li, Yan. 2013. "Consciousness and depth of anesthesia assessment based on Bayesian analysis of EEG signals." IEEE Transactions on Biomedical Engineering. 60 (6), pp. 1488-1498. https://doi.org/10.1109/TBME.2012.2236649
Simulation of Newtonian-fluid flows with C2-continuous two-node integrated-RBF elements
An-Vo, D.-A., Mai-Duy, N. and Tran-Cong, T.. 2010. "Simulation of Newtonian-fluid flows with C2-continuous two-node integrated-RBF elements." Structural Longevity. 4 (1), pp. 39-45. https://doi.org/10.3970/sl.2010.004.039
RBF computation of multiscale elliptic problems [Keynote paper]
An-Vo, D.-A., Tran, C.-D., Mai-Duy, N. and Tran-Cong, T.. 2012. "RBF computation of multiscale elliptic problems [Keynote paper]." Atluri, S. N., Vusanovic, I. and Sarler, B. (ed.) 8th ICCES Special Symposium on Meshless & Other Novel Computational Methods (ICCES MM 2012). Budva, Montenegro 02 - 06 Sep 2012 Montenegro.
Chaos-modified detrended moving average methodology for monitoring the depth of anaesthesia
Nguyen-Ky, T., Wen, Peng and Li, Yan. 2013. "Chaos-modified detrended moving average methodology for monitoring the depth of anaesthesia." International Journal of Emerging Trends in Signal Processing. 1 (2), pp. 1-8.
Modeling strain localisation in a segmented bar by a C2-continuous two-node integrated-RBF element formulation
An-Vo, D.-A., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2012. "Modeling strain localisation in a segmented bar by a C2-continuous two-node integrated-RBF element formulation." Brebbia, C. A. and Poljak, D. (ed.) 34th International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2012). Split, Croatia 25 - 27 Jun 2012 United Kingdom. https://doi.org/10.2495/BE120011
RBF-based multiscale control volume method for second order elliptic problems with oscillatory coefficients
An-Vo, D.-A., Tran, C.-D., Mai-Duy, N. and Tran-Cong, T.. 2012. "RBF-based multiscale control volume method for second order elliptic problems with oscillatory coefficients." CMES Computer Modeling in Engineering and Sciences. 89 (4), pp. 303-359. https://doi.org/10.3970/cmes.2012.089.303
Local Moving Least Square - One-Dimensional IRBFN Technique: Part II- Unsteady Incompressible Viscous Flows
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2012. "Local Moving Least Square - One-Dimensional IRBFN Technique: Part II- Unsteady Incompressible Viscous Flows ." CMES Computer Modeling in Engineering and Sciences. 83 (3), pp. 311-351. https://doi.org/10.3970/cmes.2012.083.311
Local Moving Least Square - One-Dimensional IRBFN Technique: Part I - Natural Convection Flows in Concentric and Eccentric Annuli
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2012. "Local Moving Least Square - One-Dimensional IRBFN Technique: Part I - Natural Convection Flows in Concentric and Eccentric Annuli ." CMES Computer Modeling in Engineering and Sciences. 83 (3), pp. 275-310. https://doi.org/10.3970/cmes.2012.083.275
Measuring the hypnotic depth of anaesthesia based on the EEG signal using combined wavelet transform, eigenvector and normalisation techniques
Nguyen-Ky, Tai, Wen, Peng, Li, Yan and Malan, Mel. 2012. "Measuring the hypnotic depth of anaesthesia based on the EEG signal using combined wavelet transform, eigenvector and normalisation techniques." Computers in Biology and Medicine. 42 (6), pp. 680-691. https://doi.org/10.1016/j.compbiomed.2012.03.004
C2-Element radial basis function methods for some continuum mechanics problems
An-Vo, Duc-Anh. 2013. C2-Element radial basis function methods for some continuum mechanics problems. PhD Thesis Doctor of Philosophy. University of Southern Queensland.
A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods for fluid-structure interaction analysis
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2012. "A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods for fluid-structure interaction analysis." CMES Computer Modeling in Engineering and Sciences. 83 (5), pp. 459-498. https://doi.org/10.3970/cmes.2012.083.459
Local moving least square-one-dimensional integrated radial basis function networks technique for incompressible viscous flows
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2012. "Local moving least square-one-dimensional integrated radial basis function networks technique for incompressible viscous flows." International Journal for Numerical Methods in Fluids. 70 (11), pp. 1443-1474. https://doi.org/10.1002/fld.3640
Moving least square: one dimensional integrated radial basis function networks for time dependent problems
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2011. "Moving least square: one dimensional integrated radial basis function networks for time dependent problems." Brebbia, C. A. and Popov, V. (ed.) 33rd International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2011). New Forest, United Kingdom 28 - 30 Jun 2011 Southampton, UK. https://doi.org/10.2495/BE110271
IRBFN-based multiscale solution of a model 1D elliptic equation
An-Vo, D.-A., Tran, C.-D., Mai-Duy, N. and Tran-Cong, T.. 2011. "IRBFN-based multiscale solution of a model 1D elliptic equation." Brebbia, C. A. and Popov, V. (ed.) 33rd International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2011). New Forest, United Kingdom 28 - 30 Jun 2011 Southampton, United Kingdom. https://doi.org/10.2495/BE110211
Measuring and reflecting depth of anesthesia using wavelet and power spectral density
Nguyen-Ky, Tai, Wen, Peng, Li, Yan and Gray, Robert. 2011. "Measuring and reflecting depth of anesthesia using wavelet and power spectral density." IEEE Transactions on Information Technology in Biomedicine. 15 (4), pp. 630-639. https://doi.org/10.1109/TITB.2011.2155081
An integrated RBFN-based macro-micro multi-scale method for computation of visco-elastic fluid flows
Tran, C.-D., An-Vo, D.-A., Mai-Duy, N. and Tran-Cong, T.. 2011. "An integrated RBFN-based macro-micro multi-scale method for computation of visco-elastic fluid flows." CMES Computer Modeling in Engineering and Sciences. 82 (2), pp. 137-162. https://doi.org/10.3970/cmes.2011.082.137
High-order upwind methods based on C2-continuous two-node integrated-RBF elements for viscous flows
An-Vo, D. A., Mai-Duy, N. and Tran-Cong, T.. 2011. "High-order upwind methods based on C2-continuous two-node integrated-RBF elements for viscous flows." CMES Computer Modeling in Engineering and Sciences. 80 (2), pp. 141-177. https://doi.org/10.3970/cmes.2011.080.141
A C2-continuous control-volume technique based on cartesian grids and two-node integrated-RBF elements for second-order elliptic problems
An-Vo, D. A., Mai-Duy, N. and Tran-Cong, T.. 2011. "A C2-continuous control-volume technique based on cartesian grids and two-node integrated-RBF elements for second-order elliptic problems." CMES Computer Modeling in Engineering and Sciences. 72 (4), pp. 299-334. https://doi.org/10.3970/cmes.2011.072.299
Free vibration analysis of laminated composite plates based on FSDT using one-dimensional IRBFN method
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2011. "Free vibration analysis of laminated composite plates based on FSDT using one-dimensional IRBFN method." Computers and Structures. 89 (1-2), pp. 1-13. https://doi.org/10.1016/j.compstruc.2010.07.012
Integrated radial basis function methods for structural, fluid flow and fluid-structure interaction analyses
Ngo-Cong, Duc. 2012. Integrated radial basis function methods for structural, fluid flow and fluid-structure interaction analyses. PhD Thesis Doctor of Philosophy. University of Southern Queensland.
Monitoring the depth of anaesthesia using simplified electroencephalogram (EEG)
Nguyen-Ky, Tai. 2011. Monitoring the depth of anaesthesia using simplified electroencephalogram (EEG). PhD Thesis Doctor of Philosophy. University of Southern Queensland.
Theoretical basis for identification of different anesthetic states based on routinely recorded EEG during operation
Nguyen-Ky, T., Wen, Peng and Li, Yan. 2009. "Theoretical basis for identification of different anesthetic states based on routinely recorded EEG during operation." Computers in Biology and Medicine. 39 (1), pp. 40-45. https://doi.org/10.1016/j.compbiomed.2008.10.007
An improved error estimation algorithm for stereophonic acoustic echo cancellation systems
Nguyen-Ky, Tai, Leis, John W. and Xiang, Wei. 2007. "An improved error estimation algorithm for stereophonic acoustic echo cancellation systems." Wysocki, Beata J. and Wysocki, Tadeusz A. (ed.) 2007 1st International Conference on Signal Processing and Communication Systems (ICSPCS 2007). Gold Coast, Australia 17 - 19 Dec 2007 Tarrawanna, NSW, Australia.
Monitoring the depth of anesthesia using discrete wavelet transform and power spectral density
Nguyen-Ky, T., Wen, Peng and Li, Yan. 2009. "Monitoring the depth of anesthesia using discrete wavelet transform and power spectral density." Wen, Peng, Li, Yuefeng, Polkowski, Lech, Yao, Yiyu, Tsumoto, Shusaku and Wang, Guoyin (ed.) 4th International Conference on Rough Sets and Knowledge Technology (RSKT 2009). Gold Coast, Australia 14 - 16 Jul 2009 Germany. Springer. https://doi.org/10.1007/978-3-642-02962-2_44
Improving the accuracy of depth of anaesthesia using modified detrended fluctuation analysis method
Nguyen-Ky, T., Wen, Peng and Li, Yan. 2010. "Improving the accuracy of depth of anaesthesia using modified detrended fluctuation analysis method." Biomedical Signal Processing and Control. 5 (1), pp. 59-65. https://doi.org/10.1016/j.bspc.2009.03.001
De-noising a raw EEG signal and measuring depth of anaesthesia for general anaesthesia patients
Nguyen-Ky, T., Wen, Peng, Li, Yan and Gray, Robert. 2010. "De-noising a raw EEG signal and measuring depth of anaesthesia for general anaesthesia patients." Li, Yan, Yang, Jiajia, Wen, Peng and Wu, Jinglong (ed.) 2010 IEEE/ICME International Conference on Complex Medical Engineering (ICME 2010). Gold Coast, Australia 13 - 15 Jul 2010 Brisbane, Australia. https://doi.org/10.1109/ICCME.2010.5558834
An improved detrended moving-average method for monitoring the depth of anesthesia
Nguyen-Ky, T., Wen, Peng and Li, Yan. 2010. "An improved detrended moving-average method for monitoring the depth of anesthesia." IEEE Transactions on Biomedical Engineering. 57 (10), pp. 2369-2378. https://doi.org/10.1109/TBME.2010.2053929
An improved new error estimation algorithm for optimal filter lengths for stereophonic acoustic echo cancellation
Nguyen-Ky, T., Leis, J. and Xiang, W.. 2010. "An improved new error estimation algorithm for optimal filter lengths for stereophonic acoustic echo cancellation." Computers and Electrical Engineering. 36 (4), pp. 664-675. https://doi.org/10.1016/jcompeleceng.2008.11.012
Integrated-RBF network method for free vibration analysis of laminated composite plates
Ngo-Cong, D., Mai-Duy, N., Karunasena, W. and Tran-Cong, T.. 2010. "Integrated-RBF network method for free vibration analysis of laminated composite plates." Khalili, N., Valliappan, S., Li, Q. and Russell, A. (ed.) 9th World Congress on Computational Mechanics and 4th Asian-Pacific Congress on Computational Mechanics (WCCM/APCOM 2010). Sydney, Australia 19 - 23 Jul 2010 Bristol, United Kingdom. IOP Publishing. https://doi.org/10.1088/1757-899X/10/1/012236
Modified detrended fluctuation analysis method in depth of anesthesia assessment application
Nguyen-Ky, T., Wen, Peng and Li, Yan. 2008. "Modified detrended fluctuation analysis method in depth of anesthesia assessment application." Arabnia, Hamid R. (ed.) BIOCOMP 2008: International Conference on Bioinformatics and Computational Biology. Las Vegas, United States 14 - 17 Jul 2008 Las Vegas, NV. USA.