TARANG.lib.time_advance.time_advance_mhd

Functions

compute_rhs_mhd(para, t, U, B, P, univ)	Compute the right-hand side (RHS) for the magnetohydrodynamic (MHD) field.
loop_breaker(para, U, B, univ)	Check if the loop should be broken based on certain conditions.
time_adv_single_step_mhd(para, a, b, c, U, B, univ)	Perform a single time advancement step for the magnetohydrodynamic (MHD) field.
time_advance_Euler_mhd(para, U, B, P, univ)	Perform time advancement using the Euler method for the magnetohydrodynamic field.
time_advance_RK2_mhd(para, U, B, P, univ)	Perform time advancement using the second-order Runge-Kutta (RK2) method for the magnetohydrodynamic field.
compute_RK4_parts_mhd(para, b, factor, U, B, univ)	Compute the parts for the fourth-order Runge-Kutta (RK4) method for the magnetohydrodynamic field.
time_advance_RK4_mhd(para, U, B, P, univ)	Perform time advancement using the fourth-order Runge-Kutta (RK4) method for the magnetohydrodynamic field.

Module Contents

TARANG.lib.time_advance.time_advance_mhd.compute_rhs_mhd(para, t, U, B, P, univ)

Compute the right-hand side (RHS) for the magnetohydrodynamic (MHD) field.

Parameters:

• t (float) – Current time.

• U (VectorField) – VectorField object representing the velocity field.

• B (VectorField) – VectorField object representing the magnetic field.

• P (Pressure) – Pressure object representing the pressure field.

• univ (UniversalArrays) – UniversalArrays object for temporary storage.

Return type:

None

TARANG.lib.time_advance.time_advance_mhd.loop_breaker(para, U, B, univ)

Check if the loop should be broken based on certain conditions.

Parameters:

• U (VectorField) – VectorField object representing the velocity field.

• B (VectorField) – VectorField object representing the magnetic field.

• univ (UniversalArrays) – UniversalArrays object for temporary storage.

Returns:

True if the loop should be broken, False otherwise.

Return type:

bool

TARANG.lib.time_advance.time_advance_mhd.time_adv_single_step_mhd(para, a, b, c, U, B, univ)

Perform a single time advancement step for the magnetohydrodynamic (MHD) field.

Parameters:

• a (float) – Coefficient for the time advancement scheme.

• b (float) – Coefficient for the time advancement scheme.

• c (float) – Coefficient for the time advancement scheme.

• U (VectorField) – VectorField object representing the velocity field.

• B (VectorField) – VectorField object representing the magnetic field.

• univ (UniversalArrays) – UniversalArrays object for temporary storage.

Return type:

None

TARANG.lib.time_advance.time_advance_mhd.time_advance_Euler_mhd(para, U, B, P, univ)

Perform time advancement using the Euler method for the magnetohydrodynamic field.

Parameters:

• U (VectorField) – VectorField object representing the velocity field.

• B (VectorField) – VectorField object representing the magnetic field.

• P (Pressure) – Pressure object representing the pressure field.

• univ (UniversalArrays) – UniversalArrays object for temporary storage.

Return type:

None

TARANG.lib.time_advance.time_advance_mhd.time_advance_RK2_mhd(para, U, B, P, univ)

Perform time advancement using the second-order Runge-Kutta (RK2) method for the magnetohydrodynamic field.

Parameters:

• U (VectorField) – VectorField object representing the velocity field.

• B (VectorField) – VectorField object representing the magnetic field.

• P (Pressure) – Pressure object representing the pressure field.

• univ (UniversalArrays) – UniversalArrays object for temporary storage.

Return type:

None

TARANG.lib.time_advance.time_advance_mhd.compute_RK4_parts_mhd(para, b, factor, U, B, univ)

Compute the parts for the fourth-order Runge-Kutta (RK4) method for the magnetohydrodynamic field.

Parameters:

• b (float) – Coefficient for the time advancement scheme.

• factor (float) – Factor for the time advancement scheme.

• U (VectorField) – VectorField object representing the velocity field.

• B (VectorField) – VectorField object representing the magnetic field.

• univ (UniversalArrays) – UniversalArrays object for temporary storage.

Return type:

None

TARANG.lib.time_advance.time_advance_mhd.time_advance_RK4_mhd(para, U, B, P, univ)

Perform time advancement using the fourth-order Runge-Kutta (RK4) method for the magnetohydrodynamic field.

Parameters:

• U (VectorField) – VectorField object representing the velocity field.

• B (VectorField) – VectorField object representing the magnetic field.

• P (Pressure) – Pressure object representing the pressure field.

• univ (UniversalArrays) – UniversalArrays object for temporary storage.

Return type:

None