TARANG.lib.time_advance.time_advance_scalar

Functions

compute_rhs_scalar(para, t, U, T, P, univ)	Compute the right-hand side (RHS) for the scalar field.
loop_breaker(para, U, T, univ)	Check if the loop should be broken based on certain conditions.
time_adv_single_step_scalar(para, a, b, c, U, T, univ)	Perform a single time advancement step for the scalar field.
time_advance_Euler_scalar(para, U, T, P, univ)	Perform time advancement using the Euler method for the scalar field.
time_advance_RK2_scalar(para, U, T, P, univ)	Perform time advancement using the second-order Runge-Kutta (RK2) method for the scalar field.
compute_RK4_parts_scalar(para, b, factor, U, T, univ)	Compute the parts for the fourth-order Runge-Kutta (RK4) method for the scalar field.
time_advance_RK4_scalar(para, U, T, P, univ)	Perform time advancement using the fourth-order Runge-Kutta (RK4) method for the scalar field.

Module Contents

TARANG.lib.time_advance.time_advance_scalar.compute_rhs_scalar(para, t, U, T, P, univ)

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

Parameters:

• t (float) – Current time.

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

• T (ScalarField) – ScalarField object representing the scalar 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_scalar.loop_breaker(para, U, T, univ)

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

Parameters:

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

• T (ScalarField) – ScalarField object representing the scalar 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_scalar.time_adv_single_step_scalar(para, a, b, c, U, T, univ)

Perform a single time advancement step for the scalar 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.

• T (ScalarField) – ScalarField object representing the scalar field.

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

Return type:

None

TARANG.lib.time_advance.time_advance_scalar.time_advance_Euler_scalar(para, U, T, P, univ)

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

Parameters:

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

• T (ScalarField) – ScalarField object representing the scalar 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_scalar.time_advance_RK2_scalar(para, U, T, P, univ)

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

Parameters:

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

• T (ScalarField) – ScalarField object representing the scalar 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_scalar.compute_RK4_parts_scalar(para, b, factor, U, T, univ)

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

• T (ScalarField) – ScalarField object representing the scalar field.

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

Return type:

None

TARANG.lib.time_advance.time_advance_scalar.time_advance_RK4_scalar(para, U, T, P, univ)

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

Parameters:

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

• T (ScalarField) – ScalarField object representing the scalar field.

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

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

Return type:

None