Oliver, Dylan J.; Turner, Ian W.; Carr, Elliot J. Dual-grid mapping method for the advection-diffusion-reaction equation in a heterogeneous medium. (English) Zbl 07784350 Comput. Math. Appl. 154, 78-90 (2024). MSC: 65N30 65N55 35J25 65F10 76S05 PDFBibTeX XMLCite \textit{D. J. Oliver} et al., Comput. Math. Appl. 154, 78--90 (2024; Zbl 07784350) Full Text: DOI
Yang, Shuiping; Liu, Fawang; Feng, Libo; Turner, Ian W. Efficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficients. (English) Zbl 1446.65082 Appl. Numer. Math. 157, 55-68 (2020). MSC: 65M06 65M12 65H10 35R11 26A33 76S05 60K35 76M20 35R05 PDFBibTeX XMLCite \textit{S. Yang} et al., Appl. Numer. Math. 157, 55--68 (2020; Zbl 1446.65082) Full Text: DOI
Carr, Elliot J.; Turner, I. W.; Perré, Patrick Macroscale modelling of multilayer diffusion: using volume averaging to correct the boundary conditions. (English) Zbl 1446.74011 Appl. Math. Modelling 47, 600-618 (2017). MSC: 74-10 35B27 76S05 PDFBibTeX XMLCite \textit{E. J. Carr} et al., Appl. Math. Modelling 47, 600--618 (2017; Zbl 1446.74011) Full Text: DOI Link
Foy, Brody H.; Perré, Patrick; Turner, Ian The meshfree finite volume method with application to multi-phase porous media models. (English) Zbl 1375.76181 J. Comput. Phys. 333, 369-386 (2017). MSC: 76S05 65M08 76M10 76M12 PDFBibTeX XMLCite \textit{B. H. Foy} et al., J. Comput. Phys. 333, 369--386 (2017; Zbl 1375.76181) Full Text: DOI
Carr, E. J.; Turner, I. W. Two-scale computational modelling of water flow in unsaturated soils containing irregular-shaped inclusions. (English) Zbl 1352.76110 Int. J. Numer. Methods Eng. 98, No. 3, 157-173 (2014). MSC: 76S05 65M60 74L10 PDFBibTeX XMLCite \textit{E. J. Carr} and \textit{I. W. Turner}, Int. J. Numer. Methods Eng. 98, No. 3, 157--173 (2014; Zbl 1352.76110) Full Text: DOI Link
Carr, E. J.; Turner, I. W.; Perré, P. A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: application to wood drying. (English) Zbl 1286.76110 J. Comput. Phys. 233, 66-82 (2013). MSC: 76M25 76S05 65F60 PDFBibTeX XMLCite \textit{E. J. Carr} et al., J. Comput. Phys. 233, 66--82 (2013; Zbl 1286.76110) Full Text: DOI Link
Carr, E. J.; Turner, I. W.; Perré, P. A dual-scale modeling approach for drying hygroscopic porous media. (English) Zbl 1267.76106 Multiscale Model. Simul. 11, No. 1, 362-384 (2013). MSC: 76S05 65F60 65F20 65M08 76M25 76R10 65M20 PDFBibTeX XMLCite \textit{E. J. Carr} et al., Multiscale Model. Simul. 11, No. 1, 362--384 (2013; Zbl 1267.76106) Full Text: DOI Link
Cumming, Ben; Moroney, Tim; Turner, Ian A mass-conservative control volume-finite element method for solving Richards’ equation in heterogeneous porous media. (English) Zbl 1287.76170 BIT 51, No. 4, 845-864 (2011). MSC: 76M12 76S05 65M08 PDFBibTeX XMLCite \textit{B. Cumming} et al., BIT 51, No. 4, 845--864 (2011; Zbl 1287.76170) Full Text: DOI
Carr, E. J.; Moroney, T. J.; Turner, I. W. Efficient simulation of unsaturated flow using exponential time integration. (English) Zbl 1419.76494 Appl. Math. Comput. 217, No. 14, 6587-6596 (2011). MSC: 76M25 76S05 65F60 65L04 PDFBibTeX XMLCite \textit{E. J. Carr} et al., Appl. Math. Comput. 217, No. 14, 6587--6596 (2011; Zbl 1419.76494) Full Text: DOI Link
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. Numerical simulation for the 3D seepage flow with fractional derivatives in porous media. (English) Zbl 1169.76427 IMA J. Appl. Math. 74, No. 2, 201-229 (2009). MSC: 76S05 PDFBibTeX XMLCite \textit{Q. Liu} et al., IMA J. Appl. Math. 74, No. 2, 201--229 (2009; Zbl 1169.76427) Full Text: DOI Link
Truscott, S. L.; Turner, I. W. A heterogeneous three-dimensional computational model for wood drying. (English) Zbl 1129.76368 Appl. Math. Modelling 29, No. 4, 381-410 (2005). MSC: 76S05 80A20 92C80 PDFBibTeX XMLCite \textit{S. L. Truscott} and \textit{I. W. Turner}, Appl. Math. Modelling 29, No. 4, 381--410 (2005; Zbl 1129.76368) Full Text: DOI
Liu, Fawang; Anh, V.; Turner, I.; Zhuang, P. Numerical simulation for solute transport in fractal porous media. (English) Zbl 1123.76363 ANZIAM J. 45C, Proc. 2003, C461-C473 (2004). MSC: 76S05 76T99 PDFBibTeX XMLCite \textit{F. Liu} et al., ANZIAM J. 45C, C461--C473 (2004; Zbl 1123.76363)
Jayantha, Pasdunkorale A.; Turner, Ian W. Generalised finite volume strategies for simulating transport in strongly orthotropic porous media. (English) Zbl 1123.76346 ANZIAM J. 44C, Proc. 2001, C443-C463 (2003). MSC: 76M12 76S05 65N06 PDFBibTeX XMLCite \textit{P. A. Jayantha} and \textit{I. W. Turner}, ANZIAM J. 44C, C443--C463 (2003; Zbl 1123.76346)
Jayantha, Pasdunkorale A.; Turner, Ian W. A second-order finite volume technique for simulating transport in anisotropic media. (English) Zbl 1123.76345 Int. J. Numer. Methods Heat Fluid Flow 13, No. 1, 31-56 (2003). MSC: 76M12 76S05 80A20 PDFBibTeX XMLCite \textit{P. A. Jayantha} and \textit{I. W. Turner}, Int. J. Numer. Methods Heat Fluid Flow 13, No. 1, 31--56 (2003; Zbl 1123.76345) Full Text: DOI Link
Jayantha, Pasdunkorale A.; Turner, Ian W. On the use of surface interpolation techniques in generalised finite volume strategies for simulating transport in highly anisotropic porous media. (English) Zbl 1107.76363 J. Comput. Appl. Math. 152, No. 1-2, 199-216 (2003). MSC: 76M12 65N06 76S05 PDFBibTeX XMLCite \textit{P. A. Jayantha} and \textit{I. W. Turner}, J. Comput. Appl. Math. 152, No. 1--2, 199--216 (2003; Zbl 1107.76363) Full Text: DOI
Liu, Fawang; Turner, I.; Anh, V.; Su, N. A two-dimensional finite volume method for transient simulation of time- and scale-dependent transport in heterogeneous aquifer systems. (English) Zbl 1145.76407 J. Appl. Math. Comput. 11, No. 1-2, 215-241 (2003). MSC: 76M12 76S05 86-08 65M20 86A05 PDFBibTeX XMLCite \textit{F. Liu} et al., J. Appl. Math. Comput. 11, No. 1--2, 215--241 (2003; Zbl 1145.76407) Full Text: DOI
Anh, V. V.; Arunakumaren, N.; Bajracharya, K.; Tieng, Q.; Turner, I. Stochastic models of porosity in heterogeneous aquifers. (English) Zbl 1283.76071 Syst. Anal. Modell. Simul. 42, No. 4, 585-596 (2002). MSC: 76S05 86A05 PDFBibTeX XMLCite \textit{V. V. Anh} et al., Syst. Anal. Modell. Simul. 42, No. 4, 585--596 (2002; Zbl 1283.76071) Full Text: DOI
Liu, Fawang; Turner, I.; Anh, V. An unstructured mesh finite volume method for modelling saltwater intrusion into coastal aquifers. (English) Zbl 1002.76074 Korean J. Comput. Appl. Math. 9, No. 2, 391-407 (2002). MSC: 76M12 76S05 86A05 PDFBibTeX XMLCite \textit{F. Liu} et al., Korean J. Comput. Appl. Math. 9, No. 2, 391--407 (2002; Zbl 1002.76074)
Awad, M.; Turner, I. Flux-limiting and nonlinear solution techniques for simulation of transport in porous media. (English) Zbl 1049.76047 ANZIAM J. 42C, C157-C182 (2000). MSC: 76M25 76S05 PDFBibTeX XMLCite \textit{M. Awad} and \textit{I. Turner}, ANZIAM J. 42C, C157--C182 (2000; Zbl 1049.76047)
Perré, Patrick; Turner, Ian W. A 3-D version of TransPore: A comprehensive heat and mass transfer computational model for simulating the drying of porous media. (English) Zbl 1042.76577 Int. J. Heat Mass Transfer 42, No. 24, 4501-4521 (1999). MSC: 76S05 76M25 80A20 PDFBibTeX XMLCite \textit{P. Perré} and \textit{I. W. Turner}, Int. J. Heat Mass Transfer 42, No. 24, 4501--4521 (1999; Zbl 1042.76577) Full Text: DOI
Ferguson, W. J.; Turner, I. W. A control volume finite element numerical simulation of the drying of spruce. (English) Zbl 0849.76037 J. Comput. Phys. 125, No. 1, 59-70 (1996). MSC: 76M10 76S05 76T99 80A20 PDFBibTeX XMLCite \textit{W. J. Ferguson} and \textit{I. W. Turner}, J. Comput. Phys. 125, No. 1, 59--70 (1996; Zbl 0849.76037) Full Text: DOI
Turner, I. W.; Ferguson, W. J. An unstructured mesh cell-centered control volume method for simulating heat and mass transfer in porous media: Application to softwood drying. II: The anisotropic model. (English) Zbl 0842.76068 Appl. Math. Modelling 19, No. 11, 668-674 (1995). MSC: 76M25 76S05 80A20 PDFBibTeX XMLCite \textit{I. W. Turner} and \textit{W. J. Ferguson}, Appl. Math. Modelling 19, No. 11, 668--674 (1995; Zbl 0842.76068) Full Text: DOI
Turner, I. W.; Ferguson, W. J. An unstructured mesh cell-centered control volume method for simulating heat and mass transfer in porous media: Application to softwood drying. I: The isotropic model. (English) Zbl 0841.76074 Appl. Math. Modelling 19, No. 11, 654-667 (1995). MSC: 76M25 76S05 80A20 PDFBibTeX XMLCite \textit{I. W. Turner} and \textit{W. J. Ferguson}, Appl. Math. Modelling 19, No. 11, 654--667 (1995; Zbl 0841.76074) Full Text: DOI
Ferguson, W. J.; Turner, I. W. A comparison of the finite element and control volume numerical solution techniques applied to timber drying problems below the boiling point. (English) Zbl 0820.76050 Int. J. Numer. Methods Eng. 38, No. 3, 451-467 (1995). MSC: 76M10 76M25 76T99 76S05 80A22 PDFBibTeX XMLCite \textit{W. J. Ferguson} and \textit{I. W. Turner}, Int. J. Numer. Methods Eng. 38, No. 3, 451--467 (1995; Zbl 0820.76050) Full Text: DOI
Ilic, M.; Turner, I. W. Convective drying of a consolidated slab of wet porous material. (English) Zbl 0691.76084 Int. J. Heat Mass Transfer 32, No. 12, 2351-2362 (1989). MSC: 76R05 80A20 76S05 76M99 PDFBibTeX XMLCite \textit{M. Ilic} and \textit{I. W. Turner}, Int. J. Heat Mass Transfer 32, No. 12, 2351--2362 (1989; Zbl 0691.76084) Full Text: DOI
Ilic, M.; Turner, I. W. Drying of a wet porous material. (English) Zbl 0607.76092 Appl. Math. Modelling 10, 16-24 (1986). Reviewer: Y.N.Gaur MSC: 76S05 76T99 80A20 76-04 76M99 PDFBibTeX XMLCite \textit{M. Ilic} and \textit{I. W. Turner}, Appl. Math. Modelling 10, 16--24 (1986; Zbl 0607.76092) Full Text: DOI