t1d_fd_simple_shear.1 - cngf-pf - continuum model for granular flows with pore-pressure dynamics
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t1d_fd_simple_shear.1 (7350B)
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1 .Dd $Mdocdate$
2 .Dt 1D_FD_SIMPLE_SHEAR 1
3 .Os
4 .Sh NAME
5 .Nm 1d_fd_simple_shear
6 .Nd simulate granular flows with pore-pressure dynamics
7 .\" .Sh LIBRARY
8 .\" For sections 2, 3, and 9 only.
9 .\" Not used in OpenBSD.
10 .Sh SYNOPSIS
11 .Nm
12 .Op Fl A Ar grain-nonlocal-ampl
13 .Op Fl a Ar fluid-pressure-ampl
14 .Op Fl b Ar grain-rate-dependence
15 .Op Fl C Ar fluid-compressibility
16 .Op Fl c Ar grain-cohesion
17 .Op Fl D Ar fluid-diffusivity
18 .Op Fl d Ar grain-size
19 .Op Fl e Ar end-time
20 .Op Fl F
21 .Op Fl f Ar applied-shear-friction
22 .Op Fl g Ar gravity-accel
23 .Op Fl H Ar fluid-pressure-phase
24 .Op Fl h
25 .Op Fl I Ar file-interval
26 .Op Fl i Ar fluid-viscosity
27 .Op Fl K Ar dilatancy-constant
28 .Op Fl k Ar fluid-permeability
29 .Op Fl L Ar length
30 .Op Fl l Ar applied-shear-vel-limit
31 .Op Fl m Ar grain-friction
32 .Op Fl N
33 .Op Fl n Ar normal-stress
34 .Op Fl O Ar fluid-pressure-top
35 .Op Fl o Ar origo
36 .Op Fl P Ar grain-compressibility
37 .Op Fl p Ar grain-porosity
38 .Op Fl q Ar fluid-pressure-freq
39 .Op Fl R Ar fluid-density
40 .Op Fl r Ar grain-density
41 .Op Fl S Ar fluid-pressure-pulse-shape
42 .Op Fl s Ar applied-shear-vel
43 .Op Fl T
44 .Op Fl t Ar curr-time
45 .Op Fl U Ar resolution
46 .Op Fl u Ar fluid-pulse-time
47 .Op Fl V Ar bot-vel
48 .Op Fl v
49 .Op Fl Y Ar max-porosity
50 .Op Fl y Ar min-porosity
51 .Op name
52 .Sh DESCRIPTION
53 The
54 .Nm
55 utility simulates the coupled continuum dynamics of granular
56 deformation and pore pressure. The simulation space is one-dimensional
57 and undergoes confined, simple shear at a pretedermined velocity
58 or friction ratio. The effective stress is modulated by pore-pressure
59 dynamics when fluid dynamics are enabled.
60 .Pp
61 The arguments are as follows:
62 .Bl -tag -width Ds
63 .It Fl A Ar grain-nonlocal-ampl
64 Amplitude of granular non-locality [-] (default 0.4).
65 .It Fl a Ar fluid-pressure-ampl
66 Amplitude of fluid-pressure perturbations [Pa] (default 0).
67 Only relevant with fluid dynamics enabled
68 .Fl ( F ) .
69 .It Fl b Ar grain-rate-dependence
70 Granular rate dependence beyond yield [-], (default 0.9377).
71 .It Fl C Ar fluid-compressibility
72 Fluid adiabatic compressibility [Pa^-1] (default 3.9e-10).
73 Only relevant with fluid dynamics enabled
74 .Fl ( F ) .
75 .It Fl c Ar grain-cohesion
76 Granular material cohesion [Pa] (default 0).
77 .It Fl D Ar fluid-diffusivity
78 Fluid diffusion coefficient [m^2/s] (default -1). Overrides fluid
79 permeability (-k), grain compressibility (-P), fluid compressibility
80 (-C), and fluid viscosity (-i). Do not use for transient simulations
81 (-T). Disabled when set to a negative value.
82 .It Fl d Ar grain-size
83 Granular material representative grain size [m] (default 0.04).
84 .It Fl e Ar end-time
85 Simulation end time [s] (default 1).
86 .It Fl F
87 Enable pore-space fluid dynamics.
88 .It Fl f Ar applied-shear-friction
89 Applied ratio between shear stress and normal stress at the top
90 boundary [-] (default 0.45), overridden by
91 .Fl s
92 and
93 .Fl l
94 if these are set.
95 .It Fl g Ar gravity-accel
96 Gravity magnitude [m/s^2] (default 9.81).
97 .It Fl H Ar fluid-pressure-phase
98 Phase of fluid-pressure perturbations [s] (default 0).
99 Only relevant with fluid dynamics enabled
100 .Fl ( F ) .
101 .It Fl h
102 Show usage information.
103 .It Fl I Ar file-interval
104 Simulation time interval between writing output to disk [s] (default
105 1.0).
106 .It Fl i Ar fluid-viscosity
107 Fluid dynamic viscosity [Pa*s] (1.787e-3).
108 Only relevant with fluid dynamics enabled
109 .Fl ( F ) .
110 .It Fl K Ar dilatancy-constant
111 Factor relating dilatancy and shear stress [TODO] (default 1.0).
112 Only relevant with transient granular dynamics enabled
113 .Fl ( T ) .
114 .It Fl k Ar fluid-permeability
115 Darcian intrinsic permeability of granular material [m^2] (default
116 1.9e-15).
117 Only relevant with fluid dynamics enabled
118 .Fl ( F ) .
119 .It Fl L Ar length
120 Simulation domain length [m] (default 1).
121 .It Fl l Ar applied-shear-vel-limit
122 Upper limit to modeled shear velocity [m/s] (default nan), overrides
123 .Fl f
124 and
125 .Fl s .
126 .It Fl m Ar grain-friction
127 Grain friction coefficient [-] (default 0.404026).
128 .It Fl N
129 Normalize output velocities to the range [0;1].
130 .It Fl n Ar normal-stress
131 Normal stress applied at the top boundary [Pa] (default 120e3).
132 .It Fl O Ar fluid-pressure-top
133 Fluid pressure applied at the top boundary [Pa] (default 0).
134 Only relevant with fluid dynamics enabled
135 .Fl ( F ) .
136 .It Fl o Ar origo
137 Simulation domain origo [m] (default 0).
138 .It Fl P Ar grain-compressibility
139 Granular material compressibility [Pa^-1] (default 1e-8).
140 .It Fl p Ar grain-porosity
141 Granular material porosity [-] (default 0.25).
142 .It Fl q Ar fluid-pressure-freq
143 Frequency of fluid-pressure perturbations [s^-1] (default 1).
144 Only relevant with fluid dynamics enabled
145 .Fl ( F ) .
146 .It Fl R Ar fluid-density
147 Fluid density [kg/m^3] (default 1000).
148 Only relevant with fluid dynamics enabled
149 .Fl ( F ) .
150 .It Fl r Ar grain-density
151 Granular material density [kg/m^3] (default 2600).
152 .It Fl S Ar fluid-pressure-pulse-shape
153 Shape of pulse perturbations in fluid pressure at the top boundary.
154 Valid options are
155 .Ar triangular
156 (default) or
157 .Ar square .
158 Only relevant with fluid dynamics enabled
159 .Fl ( F ) .
160 .It Fl s Ar applied-shear-vel
161 Shear the material under constant velocity [m/s] instead of a friction value.
162 Overrides
163 .Fl f
164 and is overridden by
165 .Fl l .
166 .It Fl T
167 Enable transient granular properties.
168 .It Fl t Ar curr-time
169 Simulation start time [s] (default 0).
170 .It Fl U Ar resolution
171 Numerical resolution of simulation domain [-] (default nan). If
172 not set, the cell size equals the grain size.
173 .It Fl u Ar fluid-pulse-time
174 Time of fluid-pressure pulse peak [s] (default nan).
175 Only relevant with fluid dynamics enabled
176 .Fl ( F ) .
177 .It Fl V Ar bot-vel
178 shear velocity at base [m/s] (default 0).
179 .It Fl v
180 Show version information.
181 .It Fl Y Ar max-porosity
182 Granular material porosity [-] at inertia number I=1 in transient
183 simulations
184 .Fl ( T )
185 (default 0.55).
186 .It Fl y Ar min-porosity
187 Minimum granular material porosity [-] in transient simulations
188 .Fl ( T )
189 (default 0.20).
190 .Pp
191 .El
192 The final simulation state is written to stdout, see
193 .Sx OUTPUT FORMAT
194 for a description of the data format.
195 .Sh OUTPUT FORMAT
196 The output consists of the following tab-delimited fields, with one
197 row per cell in the simulation domain:
198 .Pp
199 .Bl -enum -compact
200 .It
201 position [m]
202 .It
203 shear velocity [m/s]
204 .It
205 effective normal stress [Pa]
206 .It
207 fluid pressure [Pa]
208 .It
209 friction [-]
210 .It
211 shear strain rate [-]
212 .It
213 porosity [-]
214 .It
215 inertia number [-]
216 .It
217 shear stress [Pa]
218 .El
219 .Sh FILES
220 If
221 .Ar name
222 is set, the simulation state is written to files in the current
223 directory named in the format
224 .Pa <name>.outputDDDDD.txt .
225 Here, DDDDD is a integer counter starting from 00000, and incrementing
226 by 1 for each new file. Each file contains the state at a single
227 point in simulation time. The output format is specified in the
228 section
229 .Sx OUTPUT FORMAT ,
230 and output files are generated with the interval specified with
231 .Fl I Ar file-interval .
232 .Sh EXIT STATUS
233 .Nm
234 exits 0 on success, and >0 if a runtime error occurs:
235 .Pp
236 .Bl -tag -compact
237 .It 0
238 successful exit
239 .It 1
240 unspecified error
241 .It 2
242 .Xr pledge 2
243 error (OpenBSD only)
244 .It 10
245 transient solver error
246 .It 11
247 fluid solver error
248 .It 12
249 granular solver error
250 .It 20
251 time step error
252 .El
253 .\" .Sh EXAMPLES
254 .\" .Sh DIAGNOSTICS
255 .\" For sections 1, 4, 6, 7, 8, and 9 printf/stderr messages only.
256 .\" .Sh ERRORS
257 .\" For sections 2, 3, 4, and 9 errno settings only.
258 .Sh SEE ALSO
259 .Xr max_depth_simple_shear 1
260 .Xr shear_flux 1
261 .Sh AUTHORS
262 .An Anders Damsgaard Aq Mt anders@adamsgaard.dk