1d_fd_simple_shear

Continuum model for granular flows with pore-pressure dynamics
git clone git://src.adamsgaard.dk/1d_fd_simple_shear
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commit 5419eee7ed46ffaae98e60ea4391d713d1731668
parent 40b8d91e4d2d99c2574ba1d3033f5f1bbc71f3ca
Author: Anders Damsgaard <anders@adamsgaard.dk>
Date:   Thu,  5 Sep 2019 18:02:29 +0200

Separate tolerance criteria, add triangular pressure pulse forcing

Diffstat:
Mfluid.c | 34++++++++++++++++++++++++++--------
Mmain.c | 96+++++++++++++++++++++++++++++++++++++++++++++++--------------------------------
Mparameter_defaults.h | 5+++--
Msimulation.h | 1+
Mtest/Makefile | 9++++++++-
Atest/simple_shear_wet_vari_pulse.std | 200+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
6 files changed, 295 insertions(+), 50 deletions(-)

diff --git a/fluid.c b/fluid.c @@ -54,10 +54,23 @@ static double sine_wave(const double time, const double amplitude, const double frequency, - const double phase, - const double base_value) + const double phase) { - return amplitude*sin(2.0*PI*frequency*time + phase) + base_value; + return amplitude*sin(2.0*PI*frequency*time + phase); +} + +static double +pulse(const double time, + const double peak_amplitude, + const double frequency, + const double peak_time) +{ + if (peak_time - 1.0/(2.0*frequency) < time && time <= peak_time) + return peak_amplitude*2.0*frequency*(time - peak_time) + peak_amplitude; + else if (peak_time < time && time < peak_time + 1.0/(2.0*frequency)) + return peak_amplitude*2.0*frequency*(peak_time - time) + peak_amplitude; + else + return 0.0; } static void @@ -167,11 +180,16 @@ darcy_solver_1d(struct simulation* sim, /* TODO: values other than 1.0 do not work! */ theta = 1.0; - p_f_top = sine_wave(sim->t, - sim->p_f_mod_ampl, - sim->p_f_mod_freq, - sim->p_f_mod_phase, - sim->p_f_top); + if (isnan(sim->p_f_mod_pulse_time)) + p_f_top = sim->p_f_top + sine_wave(sim->t, + sim->p_f_mod_ampl, + sim->p_f_mod_freq, + sim->p_f_mod_phase); + else + p_f_top = sim->p_f_top + pulse(sim->t, + sim->p_f_mod_ampl, + sim->p_f_mod_freq, + sim->p_f_mod_pulse_time); /* set fluid BCs (1 of 2) */ set_fluid_bcs(sim, p_f_top); diff --git a/main.c b/main.c @@ -12,8 +12,17 @@ #include "parameter_defaults.h" +/* relative tolerance criteria for granular fluidity solver */ +#define RTOL_GRANULAR 1e-5 +#define MAX_ITER_GRANULAR 10000 + +/* relative tolerance criteria for fluid-pressure solver */ +#define RTOL_DARCY 1e-5 +#define MAX_ITER_DARCY 10000 + /* relative tolerance criteria when shear velocity is restricted */ -#define RTOL 1e-3 +#define RTOL_STRESS 1e-3 +#define MAX_ITER_STRESS 20000 static void usage(void) @@ -54,8 +63,11 @@ usage(void) " -k, --fluid-permeability VAL fluid intrinsic permeability [m^2] (default %g)\n" " -O, --fluid-pressure-top VAL fluid pressure at +z edge [Pa] (default %g)\n" " -a, --fluid-pressure-ampl VAL amplitude of pressure variations [Pa] (default %g)\n" - " -q, --fluid-pressure-freq VAL frequency of pressure variations [s^-1] (default %g)\n" + " -q, --fluid-pressure-freq VAL frequency of sinusoidal pressure variations [s^-1]\n" + " (default %g)\n" " -H, --fluid-pressure-phase VAL fluid pressure at +z edge [Pa] (default %g)\n" + " -u, --fluid-pressure-pulse-time VAL fluid pressure pulse peak time [s]\n" + " (default %g)\n" " -t, --time VAL simulation start time [s] (default %g)\n" " -T, --time-end VAL simulation end time [s] (default %g)\n" " -I, --file-interval VAL interval between output files [s] (default %g)\n" @@ -99,6 +111,7 @@ usage(void) sim.p_f_mod_ampl, sim.p_f_mod_freq, sim.p_f_mod_phase, + sim.p_f_mod_pulse_time, sim.t, sim.t_end, sim.file_dt); @@ -130,40 +143,41 @@ main(int argc, char* argv[]) norm = 0; - optstring = "hvNn:G:P:m:s:l:V:A:b:f:C:Fp:d:r:o:L:c:i:R:k:O:a:q:H:t:T:D:I:"; + optstring = "hvNn:G:P:m:s:l:V:A:b:f:C:Fp:d:r:o:L:c:i:R:k:O:a:q:H:T:t:T:D:I:"; const struct option longopts[] = { - {"help", no_argument, NULL, 'h'}, - {"version", no_argument, NULL, 'v'}, - {"normalize", no_argument, NULL, 'N'}, - {"gravity", required_argument, NULL, 'G'}, - {"normal-stress", required_argument, NULL, 'P'}, - {"stress-ratio", required_argument, NULL, 'm'}, - {"set-shear-velocity", required_argument, NULL, 's'}, - {"limit-shear-velocity", required_argument, NULL, 'l'}, - {"velocity-bottom", required_argument, NULL, 'V'}, - {"nonlocal-amplitude", required_argument, NULL, 'A'}, - {"rate-dependence", required_argument, NULL, 'b'}, - {"friction-coefficient", required_argument, NULL, 'f'}, - {"cohesion", required_argument, NULL, 'C'}, - {"porosity", required_argument, NULL, 'p'}, - {"grain-size", required_argument, NULL, 'd'}, - {"density", required_argument, NULL, 'r'}, - {"resolution", required_argument, NULL, 'n'}, - {"origo", required_argument, NULL, 'o'}, - {"length", required_argument, NULL, 'L'}, - {"fluid", no_argument, NULL, 'F'}, - {"fluid-compressiblity", required_argument, NULL, 'c'}, - {"fluid-viscosity", required_argument, NULL, 'i'}, - {"fluid-density", required_argument, NULL, 'R'}, - {"fluid-permeability", required_argument, NULL, 'k'}, - {"fluid-pressure-top", required_argument, NULL, 'O'}, - {"fluid-pressure-ampl", required_argument, NULL, 'a'}, - {"fluid-pressure-freq", required_argument, NULL, 'q'}, - {"fluid-pressure-phase", required_argument, NULL, 'H'}, - {"time", required_argument, NULL, 't'}, - {"time-end", required_argument, NULL, 'T'}, - {"file-interval", required_argument, NULL, 'I'}, - {NULL, 0, NULL, 0} + {"help", no_argument, NULL, 'h'}, + {"version", no_argument, NULL, 'v'}, + {"normalize", no_argument, NULL, 'N'}, + {"gravity", required_argument, NULL, 'G'}, + {"normal-stress", required_argument, NULL, 'P'}, + {"stress-ratio", required_argument, NULL, 'm'}, + {"set-shear-velocity", required_argument, NULL, 's'}, + {"limit-shear-velocity", required_argument, NULL, 'l'}, + {"velocity-bottom", required_argument, NULL, 'V'}, + {"nonlocal-amplitude", required_argument, NULL, 'A'}, + {"rate-dependence", required_argument, NULL, 'b'}, + {"friction-coefficient", required_argument, NULL, 'f'}, + {"cohesion", required_argument, NULL, 'C'}, + {"porosity", required_argument, NULL, 'p'}, + {"grain-size", required_argument, NULL, 'd'}, + {"density", required_argument, NULL, 'r'}, + {"resolution", required_argument, NULL, 'n'}, + {"origo", required_argument, NULL, 'o'}, + {"length", required_argument, NULL, 'L'}, + {"fluid", no_argument, NULL, 'F'}, + {"fluid-compressiblity", required_argument, NULL, 'c'}, + {"fluid-viscosity", required_argument, NULL, 'i'}, + {"fluid-density", required_argument, NULL, 'R'}, + {"fluid-permeability", required_argument, NULL, 'k'}, + {"fluid-pressure-top", required_argument, NULL, 'O'}, + {"fluid-pressure-ampl", required_argument, NULL, 'a'}, + {"fluid-pressure-freq", required_argument, NULL, 'q'}, + {"fluid-pressure-phase", required_argument, NULL, 'H'}, + {"fluid-pressure-pulse-time", required_argument, NULL, 'u'}, + {"time", required_argument, NULL, 't'}, + {"time-end", required_argument, NULL, 'T'}, + {"file-interval", required_argument, NULL, 'I'}, + {NULL, 0, NULL, 0} }; new_phi = sim.phi[0]; @@ -262,6 +276,9 @@ main(int argc, char* argv[]) case 'H': sim.p_f_mod_phase = atof(optarg); break; + case 'u': + sim.p_f_mod_pulse_time = atof(optarg); + break; case 't': sim.t = atof(optarg); break; @@ -317,7 +334,7 @@ main(int argc, char* argv[]) stressiter = 0; do { if (sim.fluid) { - if (darcy_solver_1d(&sim, 10000, 1e-5)) + if (darcy_solver_1d(&sim, MAX_ITER_DARCY, RTOL_DARCY)) exit(1); } @@ -325,7 +342,8 @@ main(int argc, char* argv[]) compute_friction(&sim); compute_cooperativity_length(&sim); - if (implicit_1d_jacobian_poisson_solver(&sim, 10000, 1e-5)) + if (implicit_1d_jacobian_poisson_solver(&sim, MAX_ITER_GRANULAR, + RTOL_GRANULAR)) exit(1); compute_shear_strain_rate_plastic(&sim); @@ -344,7 +362,7 @@ main(int argc, char* argv[]) sim.mu_wall *= 1.0 + (res_norm*1e-2); } - if (++stressiter > 10000) { + if (++stressiter > MAX_ITER_STRESS) { fprintf(stderr, "error: stress solution did not converge:\n"); fprintf(stderr, "v_x=%g, v_x_fix=%g, v_x_limit=%g, " @@ -356,7 +374,7 @@ main(int argc, char* argv[]) } } while ((!isnan(sim.v_x_fix) || !isnan(sim.v_x_limit)) - && fabs(res_norm) > RTOL); + && fabs(res_norm) > RTOL_STRESS); if (!isnan(sim.v_x_limit)) sim.mu_wall = mu_wall_orig; diff --git a/parameter_defaults.h b/parameter_defaults.h @@ -17,7 +17,7 @@ struct simulation init_sim(void) sim.G = 9.81; - sim.P_wall = 120e3; /* larger normal stress deepens the shear depth */ + sim.P_wall = 120e3; sim.mu_wall = 0.45; sim.v_x_bot = 0.0; sim.v_x_fix = NAN; @@ -66,7 +66,7 @@ struct simulation init_sim(void) /* spatial settings */ sim.origo_z = 0.0; - sim.L_z = 0.7; /* Damsgaard et al 2013 */ + sim.L_z = 1.0; /* temporal settings */ sim.t = 0.0; @@ -105,6 +105,7 @@ struct simulation init_sim(void) sim.p_f_mod_ampl = 0.0; sim.p_f_mod_freq = 1.0; sim.p_f_mod_phase = 0.0; + sim.p_f_mod_pulse_time = NAN; return sim; } diff --git a/simulation.h b/simulation.h @@ -84,6 +84,7 @@ struct simulation { double p_f_mod_ampl; /* amplitude of fluid pressure variations [Pa] */ double p_f_mod_freq; /* frequency of fluid pressure variations [s^-1] */ double p_f_mod_phase; /* phase of fluid pressure variations [s^-1] */ + double p_f_mod_pulse_time; /* single pressure pulse at this time [s] */ double beta_f; /* adiabatic fluid compressibility [Pa^-1] */ double mu_f; /* fluid dynamic viscosity [Pa*s] */ double rho_f; /* fluid density [kg/m^3] */ diff --git a/test/Makefile b/test/Makefile @@ -5,7 +5,8 @@ TESTS := simple_shear_dry \ simple_shear_dry_cohesive \ simple_shear_wet \ simple_shear_wet_norm \ - simple_shear_wet_vari + simple_shear_wet_vari \ + simple_shear_wet_vari_pulse STANDARDS := $(addsuffix .std,$(TESTS)) @@ -22,6 +23,8 @@ SIMPLE_SHEAR_WET_VARI_OPTS = --length 8.0 \ --fluid-pressure-freq $$( echo "1.0/(3600*24)" | bc -l ) \ --file-interval $$( echo "60*1000" | bc -l ) \ --time-end $$( echo "60*20" | bc -l ) +SIMPLE_SHEAR_WET_VARI_PULSE_OPTS = $(SIMPLE_SHEAR_WET_VARI_OPTS) \ + --fluid-pressure-pulse-time 500 test: $(TESTS) @@ -65,6 +68,10 @@ simple_shear_wet_norm.std: $(BIN) simple_shear_wet_vari.std: $(BIN) ./$< $(SIMPLE_SHEAR_WET_VARI_OPTS) > $@ +simple_shear_wet_vari_pulse.std: $(BIN) + ./$< $(SIMPLE_SHEAR_WET_VARI_PULSE_OPTS) > $@ + + $(BIN): make -C .. diff --git a/test/simple_shear_wet_vari_pulse.std b/test/simple_shear_wet_vari_pulse.std @@ -0,0 +1,200 @@ +0 0 233416 69620 0.19278884052507114 2.1720851657206607e-70 +0.040201005025125629 2.9283675330214125e-71 232745.56783919601 69521.407035175886 0.19334417586456693 7.2843142383907636e-70 +0.080402010050251257 1.1858964030866926e-70 232075.1356783919 69422.814070351757 0.19390271977417128 2.2214858788390719e-69 +0.12060301507537688 3.8800577912168823e-70 231404.70351758791 69324.221105527642 0.19446450014176042 6.701726452973846e-69 +0.16080402010050251 1.1987094751429542e-69 230734.27135678395 69225.628140703513 0.19502954517934004 2.0166254438528989e-68 +0.20100502512562815 3.6350445182896457e-69 230063.8391959799 69127.035175879399 0.19559788342776782 6.0603834198273949e-68 +0.24120603015075376 1.0945670413958273e-68 229393.40703517586 69028.442211055284 0.19616954376155879 1.8185181915475712e-67 +0.28140703517587939 3.2856096691234426e-68 228722.9748743719 68929.849246231155 0.19674455539377558 5.4502185364724428e-67 +0.32160804020100503 9.8423296022403995e-68 228052.54271356785 68831.256281407041 0.19732294788100496 1.6309840833628432e-66 +0.36180904522613067 2.9439476878115838e-67 227382.1105527638 68732.663316582912 0.19790475112842174 4.8747903848740155e-66 +0.4020100502512563 8.7922574846911803e-67 226711.67839195981 68634.070351758797 0.19848999539494341 1.4547670619737995e-65 +0.44221105527638194 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