maar; diatreme; phreatomagmatic; explosive volcanism; kimberlite
prs.rt(\"abs_end\");
1. Introduction
2. Debris jets
2.1. Debris jets in nature
2.2. Experimental debris jets
3. Numerical methods
3.1. Numerical model and governing equations
The constitutive equations for the granular phase in MFiX are based on a modified Princeton model (Agrawal et al., 2001) and close the momentum and K03861 equations by providing explicit expressions for stress τ , heat exchange ΠmΠm, and collisional dissipation JmJm. These equations along with the equations for the frictional stress model, interface momentum transfer, drag correlation, interphase heat transfer, and conduction can be found in Appendix A. The equations are solved in two dimensions on a 1 m by 1 m axisymmetric, structured mesh using a semi-implicit, finite volume scheme.
The general multifield framework described by the above conservation equations has been validated as adequately describing many physical processes associated with explosive volcanic phenomena. This validation comprised comparison with experiments on particle-laden overpressured (underexpanded) jets, and qualitative comparison with eruption of fragmented basaltic magma and gas through a borehole in Iceland (see Dartevelle and Valentine, 2007 and Dartevelle and Valentine, 2008). These examples show that the model captures the combined effects of compressible flow and imperfect momentum and energy coupling between carrier gas and particles.
prs.rt(\"abs_end\");
1. Introduction
2. Debris jets
2.1. Debris jets in nature
2.2. Experimental debris jets
3. Numerical methods
3.1. Numerical model and governing equations
The constitutive equations for the granular phase in MFiX are based on a modified Princeton model (Agrawal et al., 2001) and close the momentum and K03861 equations by providing explicit expressions for stress τ , heat exchange ΠmΠm, and collisional dissipation JmJm. These equations along with the equations for the frictional stress model, interface momentum transfer, drag correlation, interphase heat transfer, and conduction can be found in Appendix A. The equations are solved in two dimensions on a 1 m by 1 m axisymmetric, structured mesh using a semi-implicit, finite volume scheme.
The general multifield framework described by the above conservation equations has been validated as adequately describing many physical processes associated with explosive volcanic phenomena. This validation comprised comparison with experiments on particle-laden overpressured (underexpanded) jets, and qualitative comparison with eruption of fragmented basaltic magma and gas through a borehole in Iceland (see Dartevelle and Valentine, 2007 and Dartevelle and Valentine, 2008). These examples show that the model captures the combined effects of compressible flow and imperfect momentum and energy coupling between carrier gas and particles.